{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploitation vs Exploration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from bayes_opt import BayesianOptimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Target function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "xs = np.linspace(-2, 10, 10000)\n",
    "\n",
    "def f(x):\n",
    "    return np.exp(-(x - 2) ** 2) + np.exp(-(x - 6) ** 2 / 10) + 1/ (x ** 2 + 1)\n",
    "\n",
    "plt.plot(xs, f(xs))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Utility function for plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_bo(f, bo):\n",
    "    x = np.linspace(-2, 10, 10000)\n",
    "    mean, sigma = bo._gp.predict(x.reshape(-1, 1), return_std=True)\n",
    "    \n",
    "    plt.figure(figsize=(16, 9))\n",
    "    plt.plot(x, f(x))\n",
    "    plt.plot(x, mean)\n",
    "    plt.fill_between(x, mean + sigma, mean - sigma, alpha=0.1)\n",
    "    plt.scatter(bo.space.params.flatten(), bo.space.target, c=\"red\", s=50, zorder=10)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Acquisition Function \"Upper Confidence Bound\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prefer exploitation (kappa=1.0)\n",
    "\n",
    "Note that most points are around the peak(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bo = BayesianOptimization(\n",
    "    f=f,\n",
    "    pbounds={\"x\": (-2, 10)},\n",
    "    verbose=0,\n",
    "    random_state=987234,\n",
    ")\n",
    "\n",
    "bo.maximize(n_iter=10, acq=\"ucb\", kappa=0.1)\n",
    "\n",
    "plot_bo(f, bo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prefer exploration (kappa=10)\n",
    "\n",
    "Note that the points are more spread out across the whole range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bo = BayesianOptimization(\n",
    "    f=f,\n",
    "    pbounds={\"x\": (-2, 10)},\n",
    "    verbose=0,\n",
    "    random_state=987234,\n",
    ")\n",
    "\n",
    "bo.maximize(n_iter=10, acq=\"ucb\", kappa=10)\n",
    "\n",
    "plot_bo(f, bo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Acquisition Function \"Expected Improvement\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prefer exploitation (xi=0.0)\n",
    "\n",
    "Note that most points are around the peak(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AdN0S4qlA7WFERESkYBX+6kxEuqV4lgI/3sbHMH6cexKzOP/MXq3HCjx1t5llGYaPm8F7QX/MmnsBaEpqt1REREQKU9dYoYlItxJP+VlTd731D7HPrmV78RgmDahqPdYFdkmbXTi2N0v8mZR++ApW3U6aEmoPIyIiIoWp66zQRKTbiGepumsS9bhbnubBxBTOG9Mb2zJHxwx4XeA8abOhtaW80+NcDCHRdQ8ShGHWPxcRERGRfKagVEQKTixLqqq7aRmWH+fh1HTOOz51twsFpACObTFyzCTeCgZhv3MfkL0asYiIiEg+U1AqIgUlnvLJlqUaXb+Eg1YPdpSOZ3SfstZjXeQ86bEuGNubJf4sive8jn1wCwk/IOVrt1REREQKS9dbpYlIlxbLUuCIZAPu5idYkpzC/FG9MKZ16q5rd73b3cjeZbxdeTYA3roHARU8EhERkcLT9VZpItJlhWFIPEsrGG/zU1ipJh72p7NwVM/WY7bdKkjtKlzbYvTosawOhhNZeySFN6mCRyIiIlJYFJSKSMFI+EHW1F1v/RLqrAo2RMczrl9F67EumLoLYIzhnNE9ecifRXTfO9j71hGG2QtBiYiIiOSjrrlSE5EuKWvqbiqGt+lxHk1NYd7I46ru0rVawRxvfP8KXi6aR4Ahun4JkL0QlIiIiEg+6rorNRHpcrKl7rpbn8FKNvBQahoLRtW2HnOsLpm62ywacRg9YgSvh8Nx16WD0ngqwA+UwisiIiKFQUGpiBSEk1XdbbDKeNudwJQBVa3GulormOPZlmHByJ48nJqGu3cN9sEtgHZLRUREpHAoKBWRgpD1nKSfwNv4GMuDycwa3gfnuCq7XTl1t9msodU8a88EwNuwFFAVXhERESkcXX+1JiJdQradP/f957Dih3ggMY0FI1un7kZsC8vquqm7zcqiDgOGjGYtQ/COnCv1g5CECh6JiIhIAVBQKiJ5L5E6cdXdmFXMKnsi0wf3aD3WDXZJId0a5qwRNSxJTsX9YDVW3U5Au6UiIiJSGLrHik1EClosS4EjghTehkd4MpjM9GG9iUZanx/tLkGpMYb5I3ryeDgdAG/DIwDE1bNURERECkD3WLGJSEGLZ2kFE9n+AnZsPw8kprJgZM9WY7Zl2pwv7cpqyzzK+p/JFuuMltYwIepZKiIiIvmv+6zYRKQgJf2AIMtuX3T9EhImygtmErOHVrca6y67pM08x+KsEbU8mJhCZMeLmMa9ADQllMIrIiIi+a17rdpEpOBkbW0S+Hjrl7KCSUwY0ocSz2k13NVbwRzPsS3mj6jlUX86JgyIbnwUgISvnqUiIiKS304alBpjbjLG7DbGvJ1l/AvGmDeNMW8ZY1YaYya0/2WKSHeVLf00svMV7Mbd3Bef2qbqrjHgdrOdUoAhtaU0Vo3mQ7s33vqHW15Xz1IRERHJZ6eyarsZuOAE45uB+WEYjgN+BNzQDtclIkLqBLt83volJI3Ls+Ek5g1vHZR2t13SZp5jMXt4LQ8lpuK+vwITOwQoKBUREZH8dtKgNAzDZ4H9JxhfGYbhgSO/fRHo307XJiLdXCxbkZ4wILr+YV60JjJqYF8qiiKthrvbedJmrm0xZ2g1S1NTMUESb/MyAFJBSNJXwSMRERHJT+29crsaeKSd31NEuql4lh0+Z9dr2PU7ubdpCgtHHZe6S/cNSi3LMGVgFe9FRnLYrsLb+FjLmHZLRUREJF+128rNGLOQdFB67QnmfMMYs8oYs2rPnj3t9dEi0gX5QUgqS+pudN0SfOPwRDCZs0a0Dkpdx8IY0xmXmJdKPIdpg2t4MpiCu+VJSMUBiGVpqyMiIiKSa+0SlBpjxgM3Ap8Kw3BftnlhGN4QhuHUMAyn1tbWZpsmIkI8lWVnLwzxNixhtT2BQf37UlPqtRrurudJm7mOxZyhNTwYn4iVqMfdvhKAIAxJqGepiIiI5KHTDkqNMQOAe4EvhmG47vQvSUQE4ll29pzdb+Ecep+7m6Zw9qiebca7Y9XdY7m2xeyh1TwfjCVhRVul8DYphVdERETy0Km0hLkdeAEYaYzZboy52hhzjTHmmiNT/hGoBn5ljHndGLOqA69XRLqBIAhJZCnM461fQoDNMn8K849L3XUsg21139RdAGMM/aqKGNSrmledSemgNEynQcdTPmGonqUiIiKSX5yTTQjD8MqTjH8N+Fq7XZGIdHvZepMShkTXL+GNyDh6Vfalb2VRq2Ev0r1Td5u5Tnq39N6XxjMz8QLO7rdI9RpPGKb/bKP6cxIREZE80r3z3EQkL2U7T2rvexfnwEbubpzC2SPbpu5216q7x3Nti9nDqlnuTyLAwtv4aMtYtrRoERERkVzRCk5E8kp4goI80XVLCDE87k9lwcjWqbuWMURs3dIAHNtiXL9KUkU92BQd0+pcqVJ4RUREJN9oBScieSWeCsgWMnnrl7AmMpaymr4MqilpPRbR7exYRRGbWUOqeSg+gciet7EObwMg5ATp0SIiIiI5oFWciOSVbAGTvX89kX3vsrhxcptdUkinrMpRXsRi9tAaHoxNSv9+4+MtY0rhFRERkXyiVZyI5JVs50mj65cA8Ig/jYXHnSc16Dzp8SK2xawh1WwJ+7A3OqD1uVKl8IqIiEge0SpORPJGOljKPOatf5h17mjsyr6M6FXaasx1LIzp3q1gjmdbhh6lLmP7VfBUOA13+0pM7BCgFF4RERHJLwpKRSRvZE3dPbiFyO63WNw4hQUje7YJQD1HLU4ycR2LWUOrufPwWEyQwt3yZMtYLJl5R1pERESksykoFZG8ke2so7f+YQCW+tNYmOk8qVJ3M3KPpPC+Gg6nya0iekwKbyIVKIVXRERE8oJWciKSF5J+QJAlSIquf4jN7ghiJf0Y26+i1ZhjGWxLqbuZeI7FyN5llBV5vBadibv5CfATgFJ4RUREJH8oKBWRvJAtQLIObyey6zXujU1h/oharONTdyNK3c3GGEM0YjNjcA8W14/DStQR2fFSy7hSeEVERCQfKCgVkbwQzxIgRTekU3cfSk7l7FE924yr6u6JuY7FzCHVPNo4isCK4G1e3jKmFF4RERHJB1rNiUjO+UFIKsgcHHnrH2a7O4T90TOYOKCy1ZhlDBH1Jz0h17aYMaQHjUTZUjYFb9OyljGl8IqIiEg+0GpORHIuW29Sq/5DIjte5r74VM4aXotjtb5leRHdwk4mYhtqSz2G9yzlCX8SzoGN2Ac2tYxnKy4lIiIi0lm0ohORnMtadXfDUgwhDySmsjBD6q6rXdKTMkd2k2cNrebW/aMA8DYf3S1N94ZVCq+IiIjkjlZ0IpJTQRCS8DMHpdH1D7HLHcjOyECmD+rRasyg86Snqvlc6daglkOlQ3GVwisiIiJ5RCs6EcmpbAGpadxLZPsLPJiYytxhNW16kbqOhTFqBXMqXMdifP8Kil2b1d503O0vYOJ1LeNK4RUREZFcUlAqIjmVrS1JdMMjmDDgvvhUFoysbTPuOWoFc6oitoXrWEwZWMXiujMxQQp369Mt43FfKbwiIiKSOwpKRSRnwjAkkSV11Fv/MHvdfmyyBzFraHXbcaXufiSebTNzSDWPHR5Eyi1v1RomDLPvWIuIiIh0NK3qRCRn4qmATPtzJnYQd9sKHk5NY+aQGopdp9V4xLawLKXufhSuYzFrSDU+NhsrZqVbw4RHA9GYUnhFREQkRxSUikjOZCuw4218DBOkWNw0lYWjMqXu6tb1UUVsQ7+qIvpXFbE8NRGraR/OrtdaxrO15RERERHpaFrZiUjOZAuEousf4kCkN2vNEOYOq2kzrqD0o3NsC8sYZg2p5g97hxEaK71bekQYkjWVWkRERKQjaWUnIjmRSAVkqq1j4nW4W5/hkWAa0wZXUxaNtBq3jMFRf9KPpbk1zK5kCft7TGp1rhS0WyoiIiK5oZWdiOREtgDI2/Q4xk+wuHEKZ4/q2XY8otvWx+U5FpMHVhKxDa+404jsfgur7oOWcfUrFRERkVzQ6k5EciJbYR1v3UMcjtTyJsOZP1znSduTa1sUuw4T+ldy96EzAfA2H03h9YOQpKrwioiISCfT6k5EOl3SDwgy5O6aRD3elid5PJzBpIE9qChunbprTDqwko/Hsgy2ZZg5tJon9leTKO2P2yaFV0GpiIiIdC6t7kSk02ULfNxNyzB+nDsaJrNwZIbUXdvGGLWCOR3NrWHAsL5yDt7WZyHZ1DIeT+pcqYiIiHQuBaUi0umyBT7RdQ9RF6nh1XAEC0ZmSN3VedLT5toWQ2tLqC31eDwxAZNqwt2+smU8FYT4QabusSIiIiIdQys8EelUKT8glSHoMYkGvM1P8AQzGH9GD6pLvdbj6Dxpe/AcC2MMM4b04H93DyBwilq1hgFV4RUREZHOpRWeiHSqrKm7m5dj/Bi31U9mYYZd0ohtKXW3HRhjiNjp1jB7Yxb7es5Ot4Y55oxvPEsRKhEREZGOoKBURDpVtqA0uu4h6iM9WBWOZKFawXQo17GYPqgHloGXI9OwD2/D3vduy3jSDwiUwisiIiKdRKs8Eek0WVuOJBvwNi/nKTOT0X0r6VUebTPFc+xOuMLuwbUtKoojjO5Tzp2HRgG0SuENgYRaw4iIiEgnUVAqIp0m21lFb/OTmFQT/1s/OeMuacS2sC2l7raXiG0wwKwh1azY5RKrGdv2XKlSeEVERKSTKCgVkU6TLdCJrnuQhkgPXg5GZTxPqgJH7avlXOnQakJgXflsIh+swjTtb5kT933CDL1kRURERNqbVnoi0imCIMycEppsxNu0jKfNDEb0rqB/VXGbKQpK25/rWJzZp5zyqMNjyQmYMMDb8mTLeBgqhVdEREQ6h1Z6ItIpshU48rY8hUk1cWv9ZM47s1ebcdsyOLZuVe3NddIp0dMH9+COHbX4RdW4m5a3mpPI8ncmIiIi0p600hORThFLZj5PGl33II1OJS8Hozh3dNugNBpRgaOOkG6xA7OGVrOvMcXePvPxtjwJQaplTrYHCSIiIiLtSUGpiHS4E6Xuupse50kzgzH9e9C7IlPVXd2mOopn28wcUg3AC/ZUrPghIjtXtYz7QUhKKbwiIiLSwbTaE5EOlzV1d9PjWMlGbm2YxnkZdkmtIwV5pGO4jkVNqcfwnqXcfWAEoeW0rcKr3VIRERHpYFrtiUiHy9YKJvrufRyO1PJKMIqzR7dtBRON6BbVkdwju9Czhlbz4s4kTX1m4G1WUCoiIiKdSys+EelQQRBmLJhjYgfxNj/BI+EsJg6spqbUazPHc3SetCPZlsEyhplDqvGDkHXlc3D2vYd1aGvLnKQfEARqDSNdQxCE+Ef+0//XIiL5w8n1BYhI1xZPBWRa+nnrH8YESW5tms5F8zKn7ro6T9rhXMdifP8Kil2bpfHxTAS8TctpmnR1y5yEHxC19IBACksQhMRTAYlUQDII8DMEoYajFb5d22qpSi0iIp1LKz4R6VDZU3fvZa93Bu8whIUja9uMe0rd7RSeYxGxLaYOquKhHcWkKofgbW7dGiaeVAqvFI5EKuBgY4I99XEOx5LEUn7GgBQgBFJBSCzpcziWZG99nH31cRriqaxfIyIi7U+rPhHpMNlSd636D3G3Pc8DqVlMH1xNZbHbZk5Uqbudwj1SSGrWkGo+OBRjb5/5uNuewyQaWubE/cwPFkTySdIPONCQ4EBj4rTOQqeCkPp4ir31cQ41JtWvV0SkEygoFWkvdXVw441w7bXpX+vqcn1FOZc1dXfdAxhCbmucxrlnti1wpNTdzmNZBscyLa1hVtpTMX4C9/1nW+aEIVqYS94Kw5DDsST7GxKZW0+dhljK50Bjgv0NiaxZHyIicvp0plTkFDX32kwFIWEYYozBNgbHNkReWAmLFkEQQEMDlJTA978PS5fC3Lm5vvSciSUzL+KK3r2X7dHhbE+dwYKRbYNSpe52Ltex6FtZxMAexdy7r5xPu6W4m5cTH3Zhy5x4yteDAsk7ST/gUFOyw1Ntk37AwcaAiO1T6jn6tyAi0s4UlIqcRNIPaIinWtLBgn2b2LPyVoq3PU3P2FbseBPhfx3EJI5ZFDUcSX1ctAh27oTS0hxceW41B/HHsw9uIbLrNe7iKuaPqKXUa3sbUurKJa1AAAAgAElEQVRu53Idi8aEz8yh1dz/2g6aRs4numk5dWEIJl30JZ4KKMvxdYocK5b0OdyUzJiN0VGSfsCBxgSeY1EWjagokohIO9GjPpEsjk0Ji6cCTP2H1N9+NT1/P4ex635FYyzBK6UL2Lh1PAFZgqgggDvv7NwLzxOxExQ4Algcm86icX3ajCt1t/O5toUhfa40ngp4r3w2dsMunD1vt8xpbqMhkg8a4ikOdXJAeqx4KmBffZy6WJIw1L8LEZHTpZ1SkQxSfsDBY1LCwjUPULLsB5T7Me6PfpLovD9n7pTxjPUcrL/5a0g8k/mNGhrw33oL+8YbYf16GD4crrgCyrr+nlMsU8XWMCT6zl2s9SYQs/sybXBVmylK3e18xhgitsWkAZV4jsXSprFMBrxNy0j1HNcyL57yKXb1Y0Nyqz6eoiGeyvVlEAKNCZ9YMqAs6hCNKMNDROTj0upC5DjN6VlhCIQhwYr/os+q63gjGMqrU37MRQvPokeJi3OkainDh6fPkDY0tH0zG8x//5zQLcI0Nnabs6Z+EJLMkLob2fkKzsHN3JS6hgsm98ax2gagSt3NDdexiEZsJg2oZPm2GNf2noS7aRkNM7/fMieeDMhQKFmk0+RLQHqsIAw51JSkMeFTFnWI2HqwJiLyUenOKXKM1HEBqfXED+mz6jqWhHPY+Zl7+fS5C6gt844GpJDe+cwQXAGEPlipMB2QQjpwratLnzWtr+/4byhHshU4iq65g6RVxMOp6Vw4rnebcaXu5k7zn/vMIdVs2dfInr4Liex6Dathd8ucpB8oVVFypiEPA9JjJf2A/Q0JDseSBMenuqs6u4jICWn1J3JEEIQcaEzSvOa2V/6U2jd/zR3heZR87nfMHNGXyuIIxhxX2KKsLL3zWVaW3gmF9K+eh4lGs31Ylz5rmjEoTTYSXfcgz0Rm07e2huE92xZ/iip1N2citoUx6XOlAM+byRhC3C1PtswJ4bT6P4p8XLGkT30eB6THakr47G2I05Q4ch987jno1w+++1247rr0r/36pV8/RhCEpPyApB+Q8oO2ga2ISBem9F0R0kWNDjYlCY5EpO57D1D10o95wJ9D2WU/ZfwZlZkD0mZz56ar7N55J2zYAMOGwZo18JOfZJ7f0JCe1wWljrTNOV50wyNYiTpuTMziggW9M/5Z6kxWbnm2zcDqYvpURFmyu5RLS3rjbVpObMznWuYk/EB/T9KpEqmAw03JXF/GRxKGcDiWpHHfAXosWoQ5dmf0yFGPcNEiGja/TzJaTDIIyJSEYAxELIuIY+E5llKDRaTLUlAqQvqcUvMZSHvvWkoe+Q6rg+F8sOA/uXRIDZXFbvaAtFlpKVx99dHf33hj1rOmYXExZtiw9vwW8kZTttTdd+7ioNubV+Kj+LsxvdqM25bRgivHXMciljLMHFLNY2t20TTubIrXPwh+Auz0YdJ4MoAsCQAi7S0IwpxW2T2pZAN2wx5M0z6spv2Yxn3E6vbR0NBIrKmBiuWrCBJNGeuz+4kYG/7qT9j6ifMx0Soi5T0p6TWQmopyqkpcLGMIw/SDoIQf0BBP3yeLXZuiiH3yn0kiIgVEQal0e/GUT2NzmlWykaL7vsJB3+OuIf/C96YOovzj9qK74op0UaMMwlSM+CUXdcm1faaqu1bdTtytz/B7cxkzh9bSs6ztd16k3becaz5XOmtINfe9toP3yucwJXEbkR0vkRwwD0gXdUn5Qetz1SId5NgMlpzxkzj71+PsfQdn33vYh7ZiHXofc2Arkfj+E35pal0CO0vasRNPMvG9+5l4xqOtXt8TlvNBWMOBSC8OlQ4h2WMEbp8x9Bk6jv41FdTFQurjKUpch2L3mOC0ri6drdPNKr2LSNegoFS6tTAMOdx0dMFQtOJfKanbzF+7P+R7F82h2DuNMv/NZ00XLUqfIW1ogJIS/MDHXGHzzq1/yuTvLU7nZ3UR8ZSfcQEZXXs3hpBbY7P59sR+Gb9WKaG5Z1sG2zJMGVSFbRkeaRjBZNvD27SsJSiF9LlSBaXS0Y7NYOk0YYh1+H3cHS8T2fEikV2v4exbhwnS6cO+sdlj9WSzX8Pm1AS2hz3ZQxV2aQ0lVT0pquxFeWUt1VUVVFeUMrjoTs54/e+wGjNnzBy++FoOXbSQZP0B4gc/wD+wDXN4O0UNH1DbtI3aQy/hHApgMySft1lvBrC9ZCyx3lOoHjmXoSPGUlniEn3phTY/a7pDpXcR6TpMriopTp06NVy1alVOPlukWV0s2bJLGtn+ApV3fYZbU+dS9dmfM3NINTWlp5C2ezL19a3Pml5xBc/c8c/M3349q4f/OVO+8KN2+E7yw6HGJLHUcem7YUD1TbPY0FTKVcEPeeDbc9q0gnFti6oS9RrJB83/Jr5562rq4ykeqvwJ9qGt7PvqCy1z9PclHS2RSldC7wwmdgh361N4m5bjvr8Cu2EXAL5bzs7SMbyZGsDTB3vyRrI/m8I+nFFTwYT+FYzrX8HwnmUMqinGy9DKyrYM5ckY7sAzMlfbLSsj8f52mrwi4ik/45lSUnHCves5uPVNmra9SfHe1xnQuJYiYgDspIaNzmRm/esSnKZYxs9g58708RIRkRwwxqwOw3DqyeZpp1S6rZQfHE3bTcUpeuS7bAtreevM7/EXg3tQFnXa58zO8WdNgblf+Vde+I93mLHuF6xdOYPRsy8+/c/JsTAMiR8fkALu+ytwDm3hf5Lf4uIZfTP3JtUuad5wHYvGhM/MIdX86umN7B+zkD5b/xH7wEb8qqFA+oxbGIY60yYdovkcaUeyGnbjvfcA0fUPE9n5Mib0CaJV1PWdy6tmNIv3nMHS3VWEhy16lXvMGVPD14ZWM7F/JRXFkZO+f4nnUOLaGONlzJjBsmDpUtzKclwgDB0SfkA8FZBMHVMszvEwvcdS1XssVTM+D8DhIMXu7W+ze80zuO8/y7QVj+GkMgSkQBgE+Lffjv+Vr2YMei1jWjIkRERySUGpdFt1saNpu8Wv3kBR3Rb+zfwt3zt7HJ5jdWigZNsWo75xM9t+Poeax7/N/qET6dGrf4d9XmeIJYOMxUiK3vwDjU4FS2PTuW1CnzbjBrWCySeubWGAWUPTQekKM4XLAW/TMhqnDG2ZF0+pCq90jLp4qmPOkSYbiK57iOi79+K+vwITBiRrRnN48rd4zprMLe/X8srawwQhjOhVyjULejF3WA1Da0tO+QGMbRkqiiKti7Zlqs5+xRWtdi+NMXiO3bLjGoYhST/ED0JSQUAQpl8LQwhtl8jgyZQPnowx34Odfw3JzJXeTUMDTW+vobHxxEG+ARzbImKne0W7tqWHTiLSqRSUSrcUT/kkjpxVsup3EX3hv1jmT2H0/M9QVexS6nX8P42qqh7svOQ39H7g06y/+cuU/+BRHKdw/0lmqrprNezG2/gIt5tFjB/Ui/5VxW3meI6qSOYTY9JVkIf3LKW6xGXZB1EurR6Ju3k5jVOuaZmnoFQ6QjzlZ+5zfBrs/espfuNmomvuxErUkaoYSMP077Cp1wXctrmYpas/4HAsRf+qJF+ePYjzx/RmcE3JR/6caMSmPFuGTYaMmRMxxuA6ze9zkn9nY87MWumdCNibb2bLrfVUzv06lYMmZHyLEEj6AUkfGhM+xqS/n6KIraroItIpTroCNsbcBFwM7A7DcGyGcQP8DFgENAJfDsPw1fa+UJH2VH/MLmnJih8R+gluKvka/zGlP1HX7rQiLmMmz2X529/j3E3XsfquHzHpcz/EKsA0quaG78eLvn0bJkjxm/h8rs5W4MjVgiffuI5Fwg+YOaSaFRv20DT5XEpf+x9MvI7QS1fzTKQ6uQCNdHnHF547zTfDff9Zil/5Bd77KwitCLERl9A4/kusiA3j1pfeZ9Uz+3Cs/SwYWculk/szeUDlx3pAZoCyaIQiN0cPaU5Q6T3lRHlz6hwmfXgf3r13sy46gcTMb1M76WIw2e+9YQhNCZ+mhI9rW5R4Tkt1bhGRjnAqd5ibgQtOMH4hMPzIf98Arj/9yxLpOLGk33Jex967lqK193BT6kI+c848IrZFqdu5u5ULPv/XrHTnMP69X7DxrZWd+tntJWNv0jCg+K1bWeNN4FDxQOaPqG0zxTqSsib5xTuy+Jw5pAeHm1K8Vz4bE6Rwtz7TMicIw86vjCpdWn17pO2GAd7GR+lx+4VU3XM5zr711M39W3Z97VXuGvBPXPGo4bt3vcHW/Y18c8FQHvz2HP7lM+OYMrDqYwWkljFUlbi5C0jhaKX3srL0jimkfy0rwzz6OMO/fy/vfeFlHu79LUqbtjP26a+T/PkMdj31G8Jk5rOox0r46aJThxqT+EHedowVkQJ30tV3GIbPGmMGnWDKp4BbwnQZ3xeNMZXGmD5hGH7QTtco0q7qj+kZV/L8v9NAEcurruSXI2oo9pxO36l0HJt+V/2ag7+dR+TBb3Jg8PNUlRdOb7kwDDMGpe6Wp7EPb+P6xKf5zOx+GZ+y53QhJ1k5toVlDDOGVGMZWHroDCZ7FXiblxEfcbQoVyIVKLVP2kXy2MJzH5O79RlKV/yIyO63SFUM4PC5/4+6kZ/l4bX7+d3v1/PBoRiDa0r4h4tH84kxvU/7/13XtqgoiuRHdkuWc6t2aSk9whC7/xn0+vw/cbj+L1ny5C2M2PA7Jrz29+x+42d8OPE79Jz3ZbBPXMAplvKJN/iURyNK3ReRdtceW0L9gG3H/H77kdfaBKXGmG+Q3k1lwIAB7fDRIh9NLOm3POl1dr1O0cZH+Enyj7hi/ngsy1Ccox+0AwcM4Omp/8KC1X/Ky3f8DeO/8rOC+aEfTwUZqzoWv/5b6pwqnkhMY/HkzKm7RQXyPXZHrpNecI/vX8lzGw+SGLQQd/NyCIOWtL94KqDEy/GFSpdwbOG5j8rZs4bSZ3+Et/Up/PIzOHTBL2gc+RmWvbuPG256je0HmhjTt5wfnD+COcNqsNrhDHuRa1MePXkV3k6V5dyqMYbKYpfDsSSUFjPtk9eQSH6dB5+6hyFv/4xxr/49H7zxK/ZO/QE9Z10JVvb7chjCoaYk8WRAeVE7VagXEeHU0nfbTRiGN4RhODUMw6m1tW1T+UQ6WkOrXdIfc5AyVtRczrzhNRS7nb9Leqx5iz7P06WLmLrjVjauWlYwqZGZdjfs/RvwNi/n98lzmDeqHzWlbSMXz7HUhiCPNafwzh1Ww7oP69nTdwF2416cXa+3zEn6AYHS+eQ0xZL+x7rfmdghyp64lh5/OIfIrlepO+uH7PnSCpZHzuaqm1bzjw+sIRqx+c/PTuC3X5rKvOG1px2QGqA8Gsm/gPQUlEcjLUX83IjNjPMvp+zbz/Dg6P+gzo8w7qUfEP/VPOreffKk7xVL+exvSCidV0TaTXsEpTuAM475ff8jr4nklXjq6FlSZ9frRLc+xa+TF3HlvDFYJne7pM1s22LoVT9lp6mlx7LvsP/A/rxf8GcrcFT82o34JsLN8XO4fNoZGb5SvUnznXsktXHOsGoAlifHExoLb9OyVvMSBfLwRPJTGIYffZc0DPHevY/q38+l6M1baJr4VfZ+9SXeHvhFvrP4XX5w9xsk/IB//vRY/nD1dOYOr2mXHT1joLI4x+dHT1OJ57QKqKOuw4wLv4j7p89z75D/ix0/xLClV7L3ps8R37P5hO+VCkL2NcQL5gGqiOS39ghKHwT+2KTNBA7pPKnko8b40R294lX/TQPFPFvxSeYOr6HItfPiXNAZvXvx7szr6OV/yM67/iKdbpXHGjOcJTVNB4iuuYPH7LOo7dOfsX3L28yxjFFQmucsK90aZnBNCX0qojy5NUWyz1S8zctbzYurCq+choaE/5GKG1l1O6m87/NULr2GoLQP+z//KDtm/R/+Y8VurrrxZdbsPMz3zh3OHV+fyXln9mqXVF1I9x+tLvG6RAXaItemsjjCsX8yRV6EOZ/+E/Z/5Xke6PEVBh9YSa8/zGPX/f9AmGzK+l5hCAcaEqrGLSKn7aR3V2PM7cALwEhjzHZjzNXGmGuMMc0N65YCm4ANwG+Ab3XY1Yp8TCk/aNnRsQ9uIbpuCbekzuFTM0ZhG0NxJ1fcPZGzzv0Uj1dcxqTd97Fj1ZJWKcf5JAhCYhlSd4ve/l+sVBO/aDiXK6cPyLhDUcg7Dd2J61gYY5g7rIaXN++nYeA5RHa/iVV39LmjFqPycQVBSONHuL95795H9S0LiOx4kcML/pl9n1vKfbtquezXL7B49XY+NbEvi6+ZxeemD2jXtl6ubdGj2O1Sxw08x6ay2OX423PPHpXM/PKPee1Ty1jpzmbCphsIfjWHg2uzp/SGwMFGBaYicnpOetcOw/DKMAz7hGEYCcOwfxiGvw3D8NdhGP76yHgYhuGfhmE4NAzDcWEYrur4yxb5aI7d0StefT0pbO6LXMyF43rjRey8Wmy4jsWoK/+djfSn51N/waH9u/Pyh30s5dNmf8NPUvz6TbzhjOdQxUjOGd0z49eqwFFhaDlXOryGeCrg1ej09OvH7JaqNYx8XPWJVNt7SAYmdpDyh6+hcuk1pHoMY/9VT/LeoC/wp3e8yT8/vJaB1cX8/qvTufbCUVSVuO16jUWuTVWJmxeZNO3NddLBdqbd5GHDRjLyW3fywLhf4qeSjHzkSnbd+g38hv0Z36s5MNW9QEQ+rsLPQxE5iWN39EzjHqJv3849qTnMnzoez7EpzsNduzN69WDj3P+gKjjA3sXf41BTMu/OlzbE2+6SRt+9F7tuBz9rPJ+rZgzEsdreYqJOfj0EkOwitoUxMGlAJdGIxdJdVfhl/dNVeI+Rjw9NJL+l/ICmU2gB43z4BtW3nkt0/UPUz76WPZfdz2/fMXzhNy/x7q7DXHvBSP7ni1MY0av922gVakGjj8KxLapLXJwM92TbMsw877Mc+uqzLC2/nDEfPoR3w2z2vvpgxvcKgQONCVIKTEXkY1BQKl3esTt6xW/+AcuP8/vwEi6d3B/XtvKyz6JtGWbPO49HelzF+H2P8uHLd+fV+dJYMsM5sMCn5OWfscUZwmvedC4a3yfj1yp1t7B4jo3n2Ewf3IPnN+4nPvgcvK3PQCrWMkdBqXxUmR5qtRKGFL35B3rccTGEAfuveJDXBn+dL/3+Na5/ZiNzhlVz5zdmcenk/u12brSZMVBV4AWNPgrLMvQocVuKmx2vtqqKKV/7BU+edQf7wzLGPP11Prj1GoJ4fZu5YQgHGvPvIaqI5L/8W42LtLOWliVBiuibt7AyHMeg0ZPoUZLfi44S12b05f+XdxlMv+f+lvr9H9CYyI/zpZnawHjrH8I5sJF/b7yEz80YmLGQUcS2ukShkO7k2NYwuw7H2FI9D5Nqwt3+QsuchB8QfoRiNdK9pfyAWOoEQWmyifLHv0v58r8g0X8Wez7/OL/dXM1XfvcK+xsSXHfZeH78R+OpLWv/JrlOFypo9FGke5lGTliAbsK0+YRff5JHyi9n/If3E14/j33vPd9mXhCGHGxK6p4gIh9J97rrSreTSAUtfdS8jY/j1H/AzclzuXRyv7yvAGuMoX9NOdsX/oTioIFDd/8Z9U3JnJ/ZSaQytIEJA0pe+ik7nAE8787ijyb3y/i1+ZgqLSfWvHsye2gNAI82DCd0ivA2Pd5qnqrwyqk60S6padxD1eI/omjNHdTP+D5rFtzEN+7Zwq+e3si84TXc/vUZzB/RMX3Oo45Nj5KuVdDoozDGUFF0tJdpJhVlZUy6+ucsm34jBAlGLLmMbff9E6Hf+oFp0g84/FFb/YhIt6agVLq0pmMKHBW9cRO7TQ1bepzFuH4VBREgRSM2U6bO4fFeVzPm0DN88PwfOJTjJ9CZqgF7Gx8lsnct/6/xYr4wYzBlGc5h5ftDAMnMsgyubVFb5jGydxlPb6onMWBuul/pMf8fKiiVU5E8wS6pve89qm+7kMiedzhw8W+5veSLfOGmVWzcU88/XXIm/3bpOCqL27eQUbNSz6GiONIu/UwLXYnnUFHUumXMsYwxTJx3MQe+9BTPFy1g6uZfc+CGT9J0YFerebGkf0rnhkVEQEGpdGFhGBI/EpTa+9fjvb+C3yfO5pOTz8AypmAqwJZFHcZd9ne8ZUYy+OUf0rj3/Zw9gU4e01qnReBT+vyP2WH34znvLC6f1j/j15Z4hfHnLW25x6Twvr3jEAf7n4t9eBvO3nda5uhcqZyKbC2u3K3PpM+P+nF2fHoxf/XOIP5l6VrO7FvObV+byaJxfTokYDQGKosjlJxgd7A7ikZOvmtcU92T4X/yvzw8+G8Z3PgmpTcv4MM3WxdBq4vlPrtHRAqDglLpsmLJ4GiBozduJoXD/dbZXDi2D55jF0yJf8e2qKko4eAnfo4Tpmi4+1vEEiliyc5/Ap1pQRldezfOvvf456bLuGrO0Iw9X41RG5hCduy50iCEp81UQgzexsda5gRhqKqbckIpP8i4o+69ex+V930ev6wfq89bzJVLEzyx9kO+OX8ov/z8JHpXRDvkeiK2RXWJh+fo3pSJc6Q/q3eC87W2bTH1M99h1XmLaQiLGLPsKrbc+38Ig/TPpxBynt0jIoVBQal0WS2pu8kmvDV38WgwnaljRlEadfK6wFEmJa7NqDGTeKL/txjd8DI7n7yew7Fky3nZzpBIZVhQpmKUrLyO9+zhrC6ex6VZzpKWuI7S4gqYY1tYxjCqTxk9SlyWb4Nknyl4Gx5pNU8pvHIimc6SFr15CxVLv0myz1RuGXU9V929k1gi4FdfmMyX5wxq98q6zUo8p1ufHz1VlmWoLHYp9Zys6bwAw8fPJP6VJ3ipeD4ztvyK3b+5jETDQQD8INT5UhE5KQWl0iX5QdiSMhTdsBQ7cZj/TS3kkgl9sS1TcJUVjTGUFzlMuPQHrLbHM/KNf+fwzvWd+gQ60y5p8es34dTt4IdNl/Ptc4Zn3HEwRgWOugIvkg5MZw+t5sVN+2ga8gkiu9/EqtvRMkcpvJJNpoq7xa/8kvLlf0nTwLP5buQf+dHynUweWMkfrp7OpAFVHXIdljFUHQmy5NSVeA5VJwniK6p6MPhPbuexM77LmfUvEvzmXA5sexdIny/NRXaPiBSOwlqZi5yiYwscRdfcwYdWL3ZWTGFs3/KCTSP1HJuKoijBJ39JEBoS91xDPBGnPssZrfYUT/ltzpJa9R9S8sJ/soJJNPSdzfln9sr4tdol7RqaU/jOGl5LXSzFa8Vz0q9veLRlTlKtYSSLhmML3oQhJc//G2UrfsT+IZ/k0/u+xaPvHeSbC4bykysmUlXSMcWMohGbmlK34B5K5ot0uvOJW6lZlsXEz/4Nz826gQr/AH3vXsT7Lz8EwOGY+peKSHa6M0uX1PxE1jq8Hff9FdyemMOi8f0wBVTgKJOyqMPAISN5+cy/4czE22y+++9oTHT8E+i6DKlXpc/+ED+V4O/jf8z3zxuRMfDULmnX4doWBpgxpAeeY/HwzlJSVcPwNh4NSkOUwitt+cHRonMAJSuvo/Sln7Jl4Gc5e9Pn2VXv89PPTeTLszsmXdc60oOzokjVdU+XMYbyaISqYhfnBLumo2dfwpZLl7DH1DB5xddZf/+/EQYhh2PJTrxaESkkCkqly0n6R3uTFr1zF4aQe/yzuGBsbzzHKpgCR5lYVnpBcOYF32BF2SJm7/w92168v0PPlzYmUm3eO7LteYrevZfrkxczeeJkRvcpz/i1pZ52SbsKYwyeYxON2MwcUs0z6/YQG3oB7vaVmNihlnltqjNLt9eYSLUUnSt54T8pfem/eLPnpzhn3aeoKSvm5q9MZ8bg6g757GI3vTuqYkbty3Usqks9yqIO2W7xfQaPxnxtGauL5zB300/ZfPPXaYzFlcYrIhkpKJUup+UHXhgSXXMnq62x9Bowkt4V0S7RJzMasSmKOPT//M9ZbwYxbOUP2L9zY4ecLw2CsG16cLKBssd/wE7Ti7ujl/Hts4dl/FrbKuxdaWnLi6R/ZMwfUcvuujjrqs7CBCm8zUfbQOhcqRwrDMOWXpXFL/+M0heuY2Xp+Xzq/c+yYGRvbvzSVPpVFbX757pHUk3Lotod7UjFrkNNiUexa2cshFRSVkH/b9zFUz2/yMwDD7Hnhk/z4d49SuMVkTYUlEqXE0umF8WRHS/iHNrCrbF5XDS+D8ZwwtL2haQs6lBaWs7hS27ECX2su/6Y+rpD1LXz+dK6WIrj49yyZ/8Z59AWvhf7Bt9bNCFrwRDtknY9rn20NYxl4KG9ffGLa1ul8PqBWsPIUY0JnxAoXv1ryp77V550F/DFvX/MtxYO518+M7bdK6E7VjpVt6rExbG7xv0+31mWoSwaoabUo8Rru3Nq2zZnXvUfPDni7xnT9Cqp31zAlk3roK4ObrwRrr02/WtdXW6+ARHJC7pjS5eSSAUER6KoojV3ELOKecaeyYKRtUQjdpcJkizLUFEUof+wcbwx/TqGpTay+5av0BBLtFtqVCzpt6mW6W55muI3buK3qQuoHXc2c4bVZPxa17a6xK60tGZZBte2qCiOMPGMSp5Zv4/40E/gbn4CUvGWeUrhFUjvkjYmfKLv3E3ZM//EE2YWf9b0df79sxP541mD2vV+7By5J1aXqu9orliWodRzqC31qCiKtDzEajbm4j/jxVnX09v/gMp/XYDfuzd897tw3XXpX/v1g+eey9HVi0iuKSiVLqUliErF8NYtYak/nZmjzqDYdbpcKqnrWJRFHYbNu5xnBn+HqY0r2HDbX3G4KdnSDufjCjIUpLDqdlC29JtspD93lX+Zvzh/ZMavNaR3cqVrak7hXTCyJ5v2NrC919lYyQbcbUcXk0rhFUgXvXI2Lafsse/yYjiWv7f+nF99cfr/Z+++w+QqqweOf99777Sdrem9b3olMbSEEDoBAVGqKEpRpImooAj6AxUUK4IFQQWpAQQEEiAEEiAgJZ000gPpbevUWzGkibEAACAASURBVN7fH7MbkrBJNrtTdnbP53l8Qnbu3DnI7t577nvec5hY3jFtnxGwDEoLUsmoPAhrGZRSBH0mZWE/Hev2nQasVKO08mPOYdXxD1P62DbMaBQikdSbIpHUSumUKVBbm9P4hRC5IUmpaFUSdaW7gXWvY9i1PGsfzanDumAaCl8rLOUq8FsELZMh59zMO6VnMXH7oyx55k4qo81rfJTan7rXF5w4xf+9jGQixjXOjdz+5XEHLLsLBywpm2vF6lehjhuYWiWfXluO5yvYp4Q36chomDZrr5JM7+6fUPjUN1jm9uDO4lu5/5vHMLhLw03RDoehFOGARYfCAKUF0sSoJTMMRYHforTAT8eiAGUFfoas2ABmsOE3eB5MnZrdIIUQLYIsZ4hWY+/S3eCK56g2SlnuH8W4PmWtbpV0b8UhC1dr+l36F+Y9WMkJn9zDrOd8jDz3JtqF/YddIlcTt/ctv/RciqdfTWD7Qr6V/B7fOOdk+nUsbPC9lqFkBEwrZxoKy1B0LQkxqHMRb6yu5qo+JxJY8wo1J/4alIEmVcIryUIbM2dOaqXL8yASIeRTaAWvXHcTf7xuIuED7D9vDMtQ+K3UtoDW+ICxLVBK4bcUrF8LsVjDB0UiJFesxLNdlAJTKQyl8rprvhCiceQ3u2g1EnWluypRg3/ta7zgHMmkIV2xjNa9v1EpRWnIh9/np8tljzIvdCyT1/6W+U/cTmUkcegT7CWadIjuM+Teo3DmDwmtnsYd9tcYesLFTB7cqeE4QOYAthEB32erpR9trGJXjxMxI9uxti7Yc4yU8LYx9aWXNTV7SjKVrTGSmhvvv4NCO97oUynAZxqE/CYloVQDndT4EZ8kpK1BeTmEww2+5BWEifXuS1XMpjJqsyuSZEdtgm3VcXbUJNhVm6AymqQmbhNNOiQcN2Pj0IQQ2SW/3UWrUd91N7DmFQw3zrP20Zw0tDM+08Bs5U9ZDUNRVuAnFAzR5YrHmV80mZM3/Zklf7+CrRV1HQ0P0ekwlnSpie/VvddNUjjtO4SXPMafnHMwj7mai8b3OmAMRUGflO22EfVdrI8f1AkNzLBHo5VJcPXLe46RpLSNmTo1tULaEE8TePYZAJRKld9adU2zgpZJgd+kKGilGhWF/XQqDtIu7Kc46CPoM1v97+8254ILwGj4WuG5SWLnnNvwa1rjeJqE4xGtu15VRm121ibYXhOnIpKkNuHI9gEh8pSU74pWwXb3Ld3daXbmk4JhjO5Z2qpLd/eWSkx9mCqMefljvPvkzUzc+gjL7v2YWJ/v0PfaG/aU1REOw403wvTpMGECkYSzzzxSo2YTBS98m/C2D/mVfSHWxO9xxTF9DvjZQZ+Z9tEOouWqf9DTv2OY7qUhZqxLcHGPowmseZXaibcC4Hga19OSUOQ5XZcIuJ7G0xpPp5ID7dX9WXdMaNkKCuqb1uzHiEYo2bSBkuID7CMUbUtRUeras1eptw6HcZ0E1sU+1j/9XXp/4wEMs/G3qFqntgwkXY8IqdX2gGUS8BmpJktSwSNEiydJqWgVEnWrMiq2C/8nb/KsfTonjOqMZahWM5u0MZRSlBT48FmKARf/lg/fHsOgOT+h6MorILnXk+O6m0c9ZQpVq9eTCBakvu7aBBY9THDOr3HtJD/Q1zP+nG8xadCBu2X6TINi6bbb5gQsA9fTTBrYkafnfUr15FPpOOc2zN2rcNuVA6nVUnlYkT+01iRdD9tNzZq1Xb3nYd+h7OrSC5/fwpdsYFZyOAwDBqQ5WpHXJkyAzZtTK+yrV6MGDKD2zHNY9NwdTNr6EB/881J6fPMhTMvXpNNrUt34446LAoJ+kwKfKdU8QrRgcicpWoVE3WzO4MqXUJ7D887R3Di0C37LaJMNEuq78oZO/DqxRZsJczsmn59fql0X47F/YZ46jvjyGRR//DTFyW286w7lyS7f59IzT6BHWcEBP8cyUvtZ5Sl02xOwTKJJlxOGdOLxDz7hDTWeC4DgqpeIHPk9QJLSfGC7HgnHI+l4TR4ltXZHLdOqd/JzGkhIIVWqecEFzYhStEqFhXD55Xv+WuRphlz8a2Y/FeD4jffzwT8uofs3/43lDzTrYzSp7SmxpEvAMijwW/jb0MNqIfKFJKUi77leqrwMIPjx82yyerLbN4jh3YtbdYOjQzEMRVHQR1FVLSQ/n5ACGNEoxf+5BapSZXVvuSN4q+w7DJn0FW4Z0OGgyaZVt4+1LSb9IjUn11CK4d2K6Vwc4MV1ii91HUdg5WdJacJ1gaatdIjMcVyPuOMRt5vfJGbZ5mruffK/PGrdT/TqkRQ8uBal9WfbBAwjVapZ2HDHbiHqmYaiIGAx5Pw7ePMZP5M+uZe5/7iILpc/js+fntLvhOORcJIELIOioE+2FwjRgkhSKvJefdddI7Id38b/8Yx7LieN7Yyh2lbp7gHVdzpsYL+X4/exoPdJLO89BXodxehB/bmyEfu+ApYhnXYFQZ9BNKk5cXDnVAnvpCl0ePcOzIp1uGV9U/u8HE9WJVqIuJ1aLUo2cUV0fws/reS2qe/yjPk7fMEiaq56kfDP2+0pyWTAgNQKqSSkopHCfpNY0mXwV27lzef9TFr7O+Y/eD4dLnuSQPDAVTuHK+F4JGsTFAQswn5TrmVCtABypyDyXmKvrrsKzXTnC5w0pDMBSy40wEE7HZqBIH1+8zCnfvlyTv3CMDofIiFVQFEwNQhd/r8V9XNITxzSCdvVvGEclfr6qpf2HJOuBEg0jdaaWNJlZ22Cqpidtv8eH67bzQ1PzuP3vr/Skx3UnPUPQu26f1aSedddqT8lIRWHQSlFYd0828Hn3MRb5T/iiPj7VPzjPOxEw420mkoDkYTD7kiyyaXrQoj0kaRU5DWt9Z6LSWDVS2yxulNdVM7gLkUEfPLtDXzW6bCo6LPZcOEwFBWhpk+nXZf2hPwmB0sxFRDym7QvDFDglwILkVJfwjusWzFdioP8d72J3Xk0wb2S0vr93iL74rbLztok1XE7rbMc56zeyY1PLeKHoelMcD+gZtL/4fQ4kqD8zhVpEPKbWHVltYO++D1mD/opI+LzqPjHeTiJaNo/z/E0FZEk0YaadAkhskbuLkVeSzgeGlCxCvyfvsML9hQmj5HS3c/Zr9Ph3mV1JlAc9FEUsEi6Ho6rces6btbPE5SW+uJA6kt4TxjSiac+/JSqSVPo8L87Mao/xSvuieNpPE/L3uMsSjoeNXF7z177dHpjxXZue34JF5St5JuRx4gNPpfYmCsI+aQyRaRPYdCiMmoDMOSMa5il4cSVd7DonxfS4YqnsHzpHS+kgZq4g+1qioOWfC8LkQNy1y7yWv0omMDaGSjPYZrzBSYN6iiluw05RFmdUoqAZRIOWBQHfRQHfRQGLIJysykOor6E96QhnXA8zSx1NADBVdP2HCMlvNnheZqqqE1FNJmRhPSVJVu59bklHN85xh3OH3A6DKb65N+CUhS04aZyIv0Clol/r/Etw8+8htf7/YhRsffZ/s+v4trJjHxu3HapiNp4Gfj5EUIcnCSlIq/VNzkKrJ7GLrMjG0ODGdG9REp3hciS+hLeoV2L6VoS5LkNfuxOIwisfHHPMfX7vkXmxG2XnZEEcScz5dIvLNzM/72wlHE9w/zZdw8Kj6ov/gt8YXymIfMfRdoV7jf/evg532Nm7xsZE5nD5oe+jufaGflc2/XYHU2mteRdCHFochURect2PbQGlawlsH4205xxHDewI5YppbtCZFPQlyrvPmFwJz5Yt5uqPlPwb5mLUbMZqB8NIzLB8zSV0SRVMRudoXvoFxZu5pfTl3NUv/Y80G0age2LqD7lj7hlfQEokFm0IgN8pkHQ2vd7a8SXb+b1HtcwrmYWG/91GdrNzD5Q19PsjiRxpMpDiKyRO3eRt+pLd/3rXke5CV5KjmPy4E5SuitEloV8n3XhdTzNrD1deFMlvFoj3S0zIOGkVkfrfxdmwguLNnPn9OUc3a8994zdSvHC+4mOvoxE+RkAKIU8BBQZEw58/oHHsPNu4/WuV/KF6hlsfOTboDPz/e9pTUXUlsRUiCyRK4nIW8m6G7HgqpeoNstY4R/G2N5lcoMkRJZZpoFlpEp4u5UGeXpDCLv94H278GYwcWqLauI2ldHMrY4CvLR4M3dOW874vu347ant6fDaDdgdh1Nz3M/2HCMNjkQmWaZBcL/9ykophl34c17r8DXG7X6JTU9cT6Z+EOoTUynlFSLz5O5d5CXPqxsF48Txr5vJDHcsxwzohN80JCkVIgfqG2KdOqwLc9fvZnfv0/Fteh8jsh347CGSaB6vrqwwmsxsSfT0j7bwi5eW84W+7bj73KF0nHEtuAmqzvw7WJ91Pg1JgyORYYUB63Mjy5RSDL/kbmaUfIUjtj7Nxuduy9jnpxLTpDQ/EiLD5O5d5KX6bp6BDbMx7Cj/TY7jeOm6K0TO1K9mnD68C56GV/WRKDSButVS2/Xkpq6ZbNdjVySZ8VLol5ds4Y4Xl/GFPu34zVdG0n7uH/Bveo+aE3+DW9Z/z3HS4Ehkg2koQg3sWzYMg6GX/onZoVMYu/4BPn359xmLwfU0lTEbncnSBCHaOLmaiLxU380zsPoVYkYhC4zhHNWvvXTdFSJHTEPhNw16tw8ztGsxj60pwGk/iODHz+85RkbDNF3cdqmIJPEyfFP8ypKt3PHiMsb2LuM3542kaMu7hN//I7FhFxIf+pV9jpUGRyJbwv7Pr5YC+CyTvpc9yP/8RzNu+a/Z9Oa/MhaD7XpUxzLTWEkIIUmpyFMJ1wXt4V83k7f1KMb260yB35TSXSFyqH619LThXfh4ey2be56Bf9P7GNUbAdlX2lS1CSfVXTfDn/Pq0q3c/uJSxvQq43fnjyLkVFPy8rW47QZQfcKd+xwrDY5ENhmGoiBgNfhaMBCg0zceYb45kpFzb2HLB89lLI6441KbkMRUiEyQK4rIO/WjYKytCzCjO5iWGCWlu0K0AEGfgQJOGtIJUyn+kzwy9fW61VLZV3p4tNZUxWwiWbgJfn35Nv7vhaWM7lnK784bRdBnUvTGjzFiO6k6/S/gC+9zfFAaHIksK/CZHOhbrrCwiIKvPckqox+D51zHrqWzMhZHJOHsmZEuhEgfSUpF3qm/sQ2seRUXk7cZw7EDOkjprhA5ppQi4DNpXxhgfL92PLnaItllDMEVqZULT2sZDdNIWmsqozZxO/M3v3NW7+S2/y5lRPcSfn/+aEJ+k8DH/yX08XNEjvo+TueRn3uPNDgS2WYYirC/4dVSgLJ27Ule+BSb6USvVy8jsn5exmKpiklHXiHSTe7iRd7Zk5SuncFHxhD69exBacgnpWRCtAChvRoebatOsLrT6fh2LMHcvQqQ1dLG8LzUGIps7MGdu343P/7PR5R3KtyTkBq12yh+/WbsLmOIjL/+c+/xmQY+aXAkcqDAf+DVUoAuXbuz7ewnqNIFtHvuIhLbV2ckDq1Tiak0PhIifeSqIvKKrltpMao/xbdzOS8lRjGxvAN+y5BSMiFaAL9lYBqK48o7EvKZPBEdi1bGntVS2Vd6cK6n2R3NfIddgI82VvGDpxfToyzEny4cQ2HQAq0pfu1GlB2j6rR7wfj8ypSskopcUUpReIC9pfX69R/E0hMfwvNcfE+ch1ezPSOx2K4n+0uFSCNJSkVeSTgeGgismQHATO8IJpZ3/NxwbSFE7oR8JiG/yeTBHXl2lUO8+zGppLTuoZKMhmmYWzeDNBtlgSu31XDD1IW0L/Rz78VjKCnwARBa8hiBdTOpmXgrbrvyz71Pkdo7LESuhHwmxiEeQo8a/QXeGnsvZc4O4o+cj05GMhJLNOlK9YcQaSJXFpFX9swnXfsqm8weqPYD6FEWktJdIVqQ+pW0L47sRiThMq/oBKzKtVjbFwMyGqYhjuuxOwsjXwDW74xw/RMLCAdM7rt4DB0KAwAYVRsonP1Tkj2PJTbm8gbfG5AGRyLHGrNaCnD08VP474A76B1bQfWjl4KXmVVNKeMVIj3kTl7klaTjoRI1+D99l+nJ0VK6K0QLZBiKgGUwplcpPcpC/HX7MLThI7jiWUBKePfnuB4VUTsrCenmyhjXPrEApRT3XXwEXUtCqRc8l5JXrgdlUHXqn0A1fHsgpbuiJQj6jEOulgJMOuubPN35OgZWvs2up29IbQZNM09raqSMV4hmk6RU5A3X07iexr9hNsqzmeEcwYQBHQhYcpMkREsT8qdW1M4e3Y13NrlUdp9E8OP/gvak3G0vjuuxO5qdFdLtNXGueXw+Ccfl3ovG0KtdwZ7XCub/Hf+m96iZ/Au84h4Nvt80FH6pShEtQGNXS5VSTLjoxzwfPp+hm55m16u/ykg8saQrY2KEaCa5uoi8Ybufdd2tNYpZGxjK8O4lUrorRAsUsExMQ3HGiK6YSvGaMRGzdgu+jf+T0TB16hPSbFT+VUSSXPf4AiqjNvdcMIYBnQr3vGbuXEHhO3cR738a8aEXHPAcskoqWpKQP/U75lAs02Dkpb9jpm8SQ5f9ker3H8lIPDVxR8p4hWgGuZsXeSPheOC5+Ne+xixvFEeWd0o1PGjERUkIkX2hupmlx5a35w+f9MfzFxJa9hQgo2GymZDWxG2uf3IBW6ri/P78UQztVvzZi65NySvXof2FVJ/8Ww42b0MayomWpjGrpQDhoJ9OX32QDxhO33duJvHx62mPxfW0dOMVohkkKRV5I+l4+LbMxYxX8HJyTKp0V7pACtFihXwmCjh7VHe2xAzWdzqZwMoXwY606X2l9XtIs5GQRpMON0xdyNodEe7+ykjG9Crb5/Xw+3/At30x1Sf9Fl3Q8YDnCdSN+hGiJQn6TKxGfl92bldM7NyHWaO70376Fbjblqc9nljSxZEqECGaRO7oRV5wXA9PawJrZuAoi3cZxZH92st+UiFaMMNQBP0mR/VvR4dCP48mjsWwIwRXTW+zo2FcT2etqVHCcfnh04tZvrmGX5wznKP6td/ndWvrAsLv/5HY0PNJlE856LlklVS0VOFGrpYCDO7Tg+WTHyDq+fBNvQgVSe8MU02qjFcIcfgkKRV5Yc8omHWvsVANZVDv7pQV+OXJvRAtXIHPxDIMvjiyGw9t7EqiqBfBZVOBtjcapn4OaTYSUsf1uOXZJczbUMFtXxzC5MGd9j3AjlHy8rV44c7UHP+Lg55LKWTvvmixDme1FODoI0YzbfgfKLR3kXzsYnDiaY0n6XrEbWl6JMThkquMyAtJx8Oo2YS162NeToxgYnkHuUkSIg9YpkHAMvjSEd1RGMwJn4z/kzkY1RvbVAmv52kqstRl1/U0P3thKXNW7+Sm0wZx+vCunzumcM4vsSpWU33qH9HBkoOeLyizSUULVxhs/GopwGmnTOGRrj+mR+1HxJ6+Ku2jYqTpkRCHT+7qRV5Iuh6BdW8A8KY3igmSlAqRN0J+k87FQY4b2IHfbB2DQhNa/nSbGaFQn5C6WShX9rTmrpeXM3P5dq47YQDnHvH58S6+T94mvOABoqMvI9l70iHPKV13RUsXsEx8ZuPvCZRSnH7+Vfy74FL6bHmZyIxfpjUeT2siybbx+02IdJG7etHi2a6H1uBfP4sdRkdoP4ieZQVYh3EBEkLkTsBKldedN64nK+Lt2FI6luDSp9Be6x8No7WmMmbjZCEh1Vrzh9dW8uKiLVw+oS+XHNX7c8eoRDUlr96AU9afmom3HfKclqEO62ZfiFxpbCfeen7L4Miv/Zxp5gn0W3oviflPpjWeaMLJyoMoIVoLudKIFi/peODa+D55i5n2SCYM7EhAntwLkVfCAYsjepXSv2OYxxITsCrX4tsyt1WX8GqtqYzaWUu8//bmWp6au5GLxvfkyol9GzymaPZtGLWbqTrtXvAVHPKcIb/8rhX5wW8Z+A/zAUppOECHC//CB3ooXWZ/H73hf2mLR4OMiBHiMEhSKlo8260bBZOsYbY7Ukp3hchDQZ+JZRp8ZWwP/lUxEtcMEVw6lUQrbQiitaYqZmetmdPD767noXfXc/bobnz3xPIG94AGVr9MaOmTRMZfj9N17CHPqYCgdDgXeeRwOvHW69O5jK2n/Z1NXgfCz12KUbE+bfHEbRkRI0RjyZ29aPGSjkdg/Rs4mCwNjGZE9xIpJxMiDxUGLE4b3gUVKOL90ASCHz+Hk6htlaNhqmNO1laBn577KX+ZvYZTh3Xm5tMGN5iQquhOimb+ALvjcCJHfb9R5w1YJoZ0OBd5xG8ZTXpofeSwcl4bfS+u66CevAiVrE1bTLJaKkTjyJ29aNGSjocGfOveYIEexOjyXhRIOZkQeSnoMykK+jhrdDf+uPsYjGQtwRXPt7oS3qqYTTxLTZxeWryZ385YyXEDO/DTM4c2PCZLa4pn/hAjUU3V6feB6W/UuYN+uUUQ+acpq6UAZ504kQe7/IzS6HrcZ64EnZ7fSwnHS21DEkIclFxxRItmux5G7Tb8O5bwhjOS48o7EpByMiHyVmHA4sIv9GQeg9ga6EPBR4+0qhu26ridtRmFry/fxi+nLWd833b84pzhB2z+Flz+DMHV06k95ke4HYY06tyGUvK7VuQln2k0qexcKcVXzruE+4OX03XrGziv35m2mCKyWirEITUqKVVKnaaU+lgptVop9aMGXu+llJqllFqglFqslJqS/lBFW5R0PPwbZgHwDmM4sl87/LKfVIi8FfSZdC8NcdqwrvwjNgnf1gW4mxe1ipl+NXGbWJbGQLyzeie3/XcpI7qXcPeXRx4wgTRqNlE06xaS3Y8kOvaqRp8/6JPfsyJ/hQNNe6AS8pscc/EtPM9kui++F730ubTEk3S9NjMCS4imOuRVRyllAn8GTgeGAhcppYbud9itwFNa6zHAhcBf0h2oaHu0To2L8K97g52UEe49irJw48rOhBAtV2HQ4pKjejE1eSy28hNc/O+sNQTKlNqEQzRLCem8DRX8+NmPKO9UyO/PH33gDrnao/jV74LnUH3qn8Bo/I26zCYV+cwyDYJN/B7uVlZA6Jx7mO+VUzrjuxjbPkpLTJGEJKVCHExjHoWOB1ZrrddqrZPAk8DZ+x2jgeK6fy4BNqcvRNFW2a5Gey6+9bN5wxnJhPKO0nVXiFYgYJkM7lLMyAF9eEUfTXD5f0hGq3MdVpPVJpysled9tKmK7z+1iG6lIe65cDSFwQPvnwst/BeBT96mdtLtuKV9Gv0ZPtOQOdAi7xUGLJrapmt0v84sPOZeKrwwvqcvQUV3NjseW1ZLhTioxlx1ugOf7vX3jXVf29v/AZcopTYC04Hr0hKdaNNs18O3dT5Wsoo3vVFMLO9w2DPIhBAtU1HQ4mtH9+ZfickYdi0seTbXITVJJIsJ6cptNXxv6kLaF/q57+IxlBYcuHLErFhD0ds/J9HnRGIjvnZYnyOrpKI1MA3VrDm7U44ezWN97iSY2IWe+nVwk82OSVZLhTiwdN3hXwQ8pLXuAUwBHlFKfe7cSqlvKaXmKqXm7tixI00fLVqrpOPhXz8LF4PN7Y+kd7twg6MOhBD5xzINju7fHrfbOFbTC//Ch/Nunl8k4WRt3MP6nRGuf2IBIZ/JfRePoUNh4MAHew7FL1+LNgNUn/J7OIzfmwqkIkW0GmG/dTjf/vtQSnHB2Wdzb9F36VwxD16+udnxyGqpEAfWmCvPJqDnXn/vUfe1vV0OPAWgtf4fEAQ67H8irfXftdbjtNbjOnbs2LSIRZtQv5/UWjuThd4ARpX3JSCNN4RoVQr9Ft8+vj//ticT2L4I+9N5uQ6p0bKZkG6siHLtEwsA+PPFR9C1JHTQ4ws+vA//1vlUn/grvMIuh/VZMptUtCaGoQj7mzYiBlJzT0+76Dr+xdl0Xvk4xrx/NjumqKyWCtGgxtzlfwiUK6X6KqX8pBoZvbDfMZ8AJwIopYaQSkplKVQ0me1qiO4ksH0xs92RTBjQQZ7eC9HKGIbihMGdWdv1TCIE0e//LdchNUo2E9LNlTGufmw+Ccfl3ovH0Kt9wUGPt7Z/ROH/fkt80NkkBn/psD9PZpOK1qbAb2I0o8qqU1GQzufeySx3NGVv3oq16YNmxZN0ZW6pEA055NVHa+0A1wKvAstJddldqpS6Qyl1Vt1h3weuVEotAp4AvqFbQ39/kTO26xHY8CYKzTzfOMb0KpXSXSFaoaDP5LITR/GUM4nAiufxqrbkOqSDqs1iQrqlKpWQxpIuf774CMo7FR38DU6ckpevwQu1o/qEXx3258lsUtEaKaUoDDR9tRRgbJ8OLDvmt2z0OhB49psYke3NOl80KXNLhdhfox6Jaq2na60Haq37a61/Wfe1n2qtX6j752Va62O11qO01qO11jMyGbRo/WzXw7fuDXZTRGn/cYSbeUERQrRcxw/qxMKu56O0S/y9B3IdzgHVxO2sNTXaVh3n6sfmU5twuPfiMQzsfIiEFCh85y6sXR9Tfcof0aF2h/2ZzWkKI0RLFvKbmM0sS//yMcN5qOfPMZPVGM98A1y7yedKOF7e7aEXItOkTke0SEnbwVr3Bm+6Izm2vJN03RWiFTMMxcWnT+YNdzR6zoNw/1/h5pvhwQehpibX4QFQFbOzNod0e00qIa2K2fzpwjEM7lJ8yPf4PplDwbz7iY76Jsm+JzTpc6XrrmjNmrtaqpTi0i+dwe+C19J+1zyM13/WrPNFsvT7RIh8IXf6osWxXQ9z22L8id28pUczsbyDNN4QopU7sl97dsfHE777U/QN34O774YbboDu3WHOnJzFpbWmMpokbmfnBnJHTYKrH5vP7kiSP104hqHdDp2QqkQ1Ja9ej1val5rjbmvS5/pMo9krSUK0ZEGfia+ZD7gL/BanXHgtj+jT6bjkH1hL/9PkcyVsF9eTnW5C1JOkVLQ4SccjsP4NPBSVXSfQsSiY65CEEJlWU8NX/vZXSIKKJ1Jfi0RSK6VTdDArTwAAIABJREFUpkBtbdZD8jzN7kiSRJaakuysTXDNY/PZVZvkngtHM7x7SaPeVzTrJxi1W6k6/T7whZv02bJKKtqC5q6WAvRuHyYw5Zd84A2icMaNWDuWNek8GtlbKsTeJCkVLY7terDmdRZ7fRkxsL903RWiLZg6FeNA/fE8D6ZOzWo4tuuxK5LEydJKxtaqON9+ZB7baxL84YLRjOxR2qj3BVa+RGjZU0SOvAGn69gmfbYCgjJyS7QBfssgmIZmXpOGdGf2yLup9IJYz3wdFa9q0nlitov0BRUiRa5CosWxI7sp2DafN71RHD+wk5TuCtEWrFqVWhltSCQCq1dnLZS47VIRSeJl6WZxY0WUqx6dR2XU5t6LxjC6Z+MSUqN2G8Uzf4jdeTSRI7/X5M8P+Ezpbi7ajMKgRTq+2y856Ujubf9TCqKbMZ7/NujDr6jQOpWYCiEkKRUtjON6+Da8hYHH8oLxDOpSmOuQhBDZUF4O4QOUnobDMGBAxkPQWlMdt6mK2WRr7WL9zghXPTKfaNLlz18dw4gejSvZRWuKX7sRZUdTZbumr8kxSOmuaEtMQ6Wl07RpKL52/nn80foGHTbPwprz2yadJ1sN1IRo6SQpFS1K0vUw18ykUodpN/Aogj4ZBSNEm3DBBWAc4JJkGKnXM8hxPXZHksSyeIO4clsNVz06D1dr/vrVIxrVZbdeaPHDBNbNpOa423DblTc5BtNQ+GWLhGhjCgMW6SgOKC3wM+bcm3jOnUDZh7/Ht3bmYZ/D9XTWGqkJ0ZLJlUi0KLbtYa19gzneCCYO6irdIIVoK4qKYPr01J91K6baB/FgCOfFl6Awc1UTkYTD7izuHwVYsqmKax6bj880uP+SsfTv1Ph/P2vHMopm/5REnxOIjb6sWXHIKqloi5RSFAWaXl2wtxE9S9k04S4+9noSeulqjJpNh32ObD4ME6KlkqRUtCjutiWEEjv4nxrNUf3a5zocIUQ2TZgAmzfDPffAjdfjnl7I9OuO5z+hPhm5aUs6HrtqE9QmnKyV6wLMWb2Tqx+bT1HQx/1fG0uv9gWNf7MdpWT6VXiBYqpPvQdU8y7jQUlKRRsV8ptYaXrw/ZWjynmox+04dhLfs5eBmzys9yddD8fNTpdvIVoqSUpFi+G43p7Sl0jP4ykKSumuEG1OYSFcfjn87h7sy67krIL3+Of0t1izo5bKaDItc/0c16MqalMRze7qKMCLizZz09OL6dshzANfH0u30tBhvb/ozf/D2vUx1afdhxfu1KxYApbMJhVtW1EwPaulSim+dc4p3O2/htJdC/HNuuOwzxGVEl7RxklSKloM29W4K2eyzOvNqKGDsZo55FoIkd/UhO9iGCZXeM9wx0vLiNkuu2oT1MTtJiWnCcelMppkVyRJ3MnuDaDWmofeWc8vpi1nbJ8y/vLVI2hfGDiscwRWTaNg8cNExl1Dss/xzY5JVklFW+e3jLT9HBQGLU4+7yoecU+l3eIH8K2adljvjydlPIxo2+SuX7QYyWgVRTvmMtsbxeTBzVsBEELkv0C7XsRHfZ0vG2+xff1SHn//k7qB8y47axNURJJEkw626zV4M+e4HnHbpSpms70mTmXUJuFkv0TOcT3ufuVj/vrmGk4b1oXfnz+KcODwKkGMmk0Uz7gRu/Noao/9UbNjUgqZAS0EUBRIz4gYgEFdioidcDuLvH4UTL8es3J9o9+rkfEwom2TK5JoMdS6NzG1y4ayo+lxmCVtQojWRymFc8yNYPm5q2waf5m1hrnrd+95Pel61MRTTYq21yTYXhNnR92f26rj7IokqYrZxG2XXC1AVMVsvvvkQp5dsImvH92bn501FN/hVoF4DiXTrwbPpmrK38D0NzuukMwmFQIAw1AUpnG70FlH9OGpPj8n4Xj4nv0mOPFGv1fGw4i2TJJS0SK4nsZZ+Ro1OkT7wROldFcIAYC/tAuxMVdwVHQWx5Vu55bnlrClKtbgsVqDp3XOEtD9rdsZ4bKHPmTRxkp+9sWhXDN5AEYTEsHCd+7Cv+k9ak78NW5Z37TEJl13hfhMgd9KW9MjpRRXnHU8vw7eQEnlMnwzb2v0e11Pk8jy1gIhWgq58xctgu24+Ne9zjvecCYP657rcIQQLUTAMoiOuwbtL+T3HabheB4/eHoxtXEn16Ed1NurdnD5wx8SSTj85atHMGVE1yadJ7DmFcIf3kd0xNeIDz0vLbH5TEMe/Amxn3Q1PYJUkvvF8y/nH96ZtFv2b3zLn230e+NJ6cIr2ia5KokWwdn+MYXxrcz3HcGoHiW5DkcI0UIopfAVtSc67mrKPp3B/cclWL8zwg+eXtQiVxQc1+NPr6/iB08vpkdZAQ99czwje5Q26Vxm5XqKX7kOu9NIaib/Im0xyiqpEJ/ntwxC/vT9bPTrWIh58s/40BtI+NUbMXevbtT74o6Ll+Wu4EK0BJKUihbBWzkDALvfifgtuWESQnwmYJlExl6FW9SdIz/+DT87cxALPq3kJ88twW5Bs/22Vcf5zmPzeez9T/jyEd154Otj6VISbNrJ7BglL14OGFR+8UGwmnie/Sgg6JNLvxANKfRbTSqxP5DTR/XixfJfUOta+P7zDbCjjXqfNDwSbZFcmUTOeZ4msWIGK73uHDFieK7DEUK0MAHLAF8BtRNvxbf9I87iTX5wykDeXrWTHz6zmHiOb+C01kz/aAtfffB9Vm+v5RfnDOem0wYTaMYDtuJZt+DbsYSq0+/DK+mdtlgD0uBIiAMyDJX2GemXT5nAb8I/oKhmNdaMWxr1Hml4JNoiSUpFztnxGsp2fMgcRjNpoIyCEULsyzAUftMgPuhLJLuOo3DOnZw/sowfnT6Y99bs4ntTF1IVs3MS267aBDf9ZzG3v7iMvh3C/Puy8Zw8tHOzzhla9DChJY9TO/67JPudnKZI684tpbtCHFTQZ6Z1XFLQZ3LueV/jAe9s2n/8BL7lzx3yPZ6Whkei7ZGkVOScu/YtLG2zteMEikPpazQghGg9gj4TlKJm8i8wozsIv/d7vjSmO7efPYzFG6u47KEPWbO9NmvxOJ7H03M/5cK/v8d7a3Zz/YkD+NslY+nZrqBZ5/V9MoeiN35Mou9JRI65OU3RpliGwi+zSYU4pOKgj3QWFPRuHyZw8k+Y55VTMOP7jZpfKg2PRFsjVyeRc7VLZxDVATqPmJzrUIQQLVT9yoXTZQyx4RdTMO9vWNuXcOqwLvz1kiOIJV0uf3guzy/YhM7wTJi563dz6T8/5LczVjKwcxH/vnw8Xz2yN2YzR0qYlespfekK3LL+qXmkRnpXNdPZxEWI1swwFMVp7MYLqf2lz/e/g4SjMZ+7EtzkQY9PSMMj0cZIUipySmuNf93rvOsN5cThvXIdjhCihaov4QWomfhTvFAZxa99HzyXkT1Kefiy8QzrVsxdL6/g+icX8smuxjUUORwLPqngO4/O45rHF1Abd7jr3BHcd/EY+nYIN/vcKlFD6fNfA6Dy7H+jA0XNPuc+5weC0kROiEZLdxkvwOVnTOJ3wWspq1iMNfuXBz1WIw2PRNsiSanIKXvHGkrjG1kWHk+fNNzYCSFar2DdfkgdKqNm8i/xbVtIwcIHAehYFODei8dw06mDWLKpigv//h53v7KCzZWxZn1m3HaZtngLlz30IVc9Op8Nu6J876Rypn77KE4Y3Ck9TYNcm5Jp38asXEvlmQ/ilvVt/jn3E/CZGM1cyRWirUl3GW/Ib3LKed/iCe8k2i/6G751rx/0eElKRVuS3hZjQhym2LJX8ANm+Um5DkUI0cLtvWqRGHg2iWVPE37nVyT6noJb1hdDKb48tgfHD+rIP99Zz3MLNvHs/E1MKO/AyUM7c3S/9o3at14Vs5m/oYLZK3cwZ9VOahMOvdsV8P2TB3LW6G57kuO00JrimT8gsP51qk/6DXavCek7916kwZEQh6++jDedjdTKOxWxbNLtrHjzY3q+eA3uZW/iFTbcHM31NEnHk73gok1Qmd57cyDjxo3Tc+fOzclni5Zj85/PJL5tFdu/8S5H9Wuf63CEEC1cRSRJsm42qVGzifb/noxT1p+KC14Ac9+Ec1t1nOcWbOKFhZvZFUliKkXfDmHKOxfSuThIaYEPQykcz2N3JMmWyjirt9eyYXeq9Lc4ZDGxvCNThndhbO+yjIxSCb9zF4Xv/5Hao75P5Jib0n5+ANNQdCgMZOTcQrQF1XGbWBrHtGit+fNT07hl43eIdh6L89VnQTWceAZ9JiXSBFLkMaXUPK31uEMeJ0mpyBk7TvLOXvxHn8D5P32i2U1ChBCtXyzpUh3/bNUi8PF/KZ32LWqPvJHIsQ13q/W0Zunmav63ZhfLt1Szanstu2uTuHtd//ymQZeSIL3bFzC8WwmjepYwokcJlpG5FYrQwn9R/MaPiA7/KjUn/4601gnupShoUeCXwighmkprze5IEieNjYdq4w5P/f1Ofuz8mR1H/gjv2O81eJwitT1B5guLfNXYpFSuUiJn4mveJqgTVPc8XhJSIUSjBCwDRaoJCEBi0NnE1r1O+IM/kuw9CbvHUZ97j6EUI7qXMKJ7yZ6veVpTE3dAg2kqCvwmRhZv+oLLn0mNful3CjUn3Z2xhFQaHAnRfEopSkI+dkeSpCstLQxaHPXl7/Li4/OZ8v7dVPY5Fqf7+M8dp4G47Un3bNHqSZG6yJntC14ioX30OeKUXIcihMgTRgOzNmtOuBO3pDcl067EqN3auPPU3WSWFPgoDFhZTUgDHz9P8SvXYfc8hsoz7gcjc8+HpcGREOlhmUbaZ6kP7V7Cp8feyUavA77nr0TFKxs8Li4Nj0QbIEmpyJng+ll8oIcycZiMghFCNN7+jYa0v5DKs/6FStZS8uJl4CRyFNmhBVa+SMn0q7G7HUnFOY+AryCjn1cgqytCpE3QZ6Z9xfLco4fwjy63EorvQL14PTSwrS7pergys1S0cpKUipzQFevplNjAJ+2Okb1OQojDUl/Cuze3wxCqT70X/5Z5FL9+c4M3drkWXPEsJdOvwu46lsovPQa+zI7BsgyFz5TLvBDpVBSw0vpzpZTiknPP5W/mxXT89FWMhY81eJyMhxGtnVytRE5snfcSAEUjTstxJEKIfKOUItDAPsnEwDOpPfJGQkufIPzur3MQ2YGF5j9AyfTvYHcbT+WXHkf7Mz+XWR74CZF+SilKQ760lvyXFPgYeO4tvOsNo2j2TzB2r/ncMens/itESyRJqciJ6NJX+MTryFHjjsx1KEKIPBT0N3z5ihxzE9HhX6Xw/T8Qmv9AlqNqgPYIz7mT4tm3Eh8whYpzn0AHijL+sUpB0CeXeCEywTAUpQW+z1VsNMfoXu1YcMRdxD0T/Z8rwd13NqqnUzNLhWit5Iolss9J0K3iQz4KjadTSSjX0Qgh8lDAMhtuWKsUNSfdTXzAFIpn30powT+yHtueUJIRSl68gsIP7iE64hKqznwQrGBWPjvkM2WEhBAZ5MtA46MvHT+eB8tuoFPNUpw37vrc61LCK1ozSUpF1lWseJMQcbz+J+Y6FCFEHtu/4dEehkXVlL8R738axbNuoeCDe7IbGGBWrqfsiSkE1rxMzaTbqTnpt2Bkr+mQlO4KkXlBn0lRMH0/a6ahOO28b/Mck+n60V9gwzv7vJ5wXHQL3C8vRDpIUiqybuu8F0loi0FHn5nrUIQQeSx0oKQUwApQdeaDxAZ/maI5d1I084fgJjMflNYElz1Fu0dPxKzdSuW5TxIde1XG5pA2JGAZMvtZiCwp8FuEA+lLTDsWBVBTfs0GrxP+F76DilfteU1rSEgJr2ilJCkVWVe88U0Wm8Mo79Ep16EIIfKYzzxE8mX6qD79PiJfuI6Cxf+m7OlzMWo2ZyweI7KdkmnfouSV63A6DmfXJa+R7D0pY593IOkeWSGEOLjCgJXW8UtHD+7NS+V3UJTcQeL57+7TTVxmlorWSpJSkVWxHevpbm9gd9fjZL+TEKLZDrpaCqAMaifeSuUZf8e3fQnt/z2J4JIn0jsyxnMILXiQ9g8dS2D1y9RMuIWK857FK8n+DGbTaLgzsRAis4qCvrQ+EDrnjLN4JHgxPTe/THLBk3u+nnA8PJlZKlohSUpFdtTUwIMPUnvVFTA/SZeBx+c6IiFEK3DAfaX7SQw6m11fn43TYRglM26g7Kmz8W3+sHkf7toElz5J+4cmUDzrJ9hdxrDr67OJjv9uVveP7i2dqzVCiMNTHPSl7WfQbxkMPe9nzNWDaP/mj6Fi/Z7X4o6slorWR+Vqw/S4ceP03Llzc/LZIsvmzIEpU8DzIBLB8ylUsBA1fTpMmJDr6IQQea4ymmz8PivtEfroUcL/+w1mZDvJHscQHfUNEv1PbXRnXLNiLcFlUwktnYpZuwW743AiR/+ARP/Tsrp3dH9KQcfCgFShCJFjtQmHSMJJy7neeG8uZ7zzFaqLyvFd8TIYFj7ToF3Yn5bzC5FpSql5WutxhzxOklKRUTU10L176s/9FRXB5s1QWJj9uIQQrUbcdqmK2Yc+cG92hIKF/6Jg0UOY1Z+irRDJXhOwu47FaT8Ir6Ajnr8Q5cQx4lWYFWuwdi7D/8kcrKr1aGWQ7D2Z6KhLSfY7JafJaL0Cv0lRML0jKoQQTRNLulTHD/P3UgO01rzw6J/41o47WTP8egpP+QkA7cN+LFMKHkXL19ikVHrGi8yaOjW1QtoQz0u9fvnl2Y1JCNGqBCwDpQ5zm6gvTPQL1xId+x38n7xFYM2r+DfMJrD2tQO+xQsUY3c/iugRV5IYMAWvqFvzg08jGQMjRMsR8psYBlTF7GZtYVdKccJ5V/Py397h5CX3sXXgifj6HEXc8SiUpFS0InIFE5m1ahVEIg2/FonA6tXZjUcI0eoopQj5TKLJJuyzMkySfSaT7DM5da5kLebuVRixCpRdi7aCaH8RbmlfvHDnFrEi2pCgZcoYGCFamIBl0j5sUBlN4jSjOVFR0Efw7D+w5dlTCbzwHfS33yZuFFGYxlE0QuSaPGIRmVVeDuFww6+FwzBgQHbjEUK0SofswttI2l+I02UMyb4nkBh4Fsl+p2D3OBqvsEuLTUgBCgLS4EiIlsg0FO3C/mY3QBratztvDf05Hewt7H7+JlxPY7sys1S0HpKUisy64AIwDvBtZhip14UQopks08DXRkvZ/G34312IfKCUoijoo6zA36yKhsmnnsML4S8zZNN/qFz0oswsFa2KXMVEZhUVwfTpOMEA1PffCIf3fF2aHAkh0qWtjkNJ52xEIUTm+C2D9mE/4YBFU1JT01AMuPBOVtKLjm/8gNrd29IeoxC5IkmpyLwJE/jwhxOpOb0D3Hwz3HNPquuujIMRQqRRfcOjtsQ0VKNntQohck8pRWHAon1hoEk/ux1LS9hw3O8p9GrY+eTVJOz0jJ4RItdkh7TIuE93VDFMfcTGKWcw5Nu/ynU4QohWqlkNj/KUNDoRIj+ZhqIk5CPsN4naLvGkS2NbIY0cN5GZH1/BlG33s+jZexlVU5RqLFlentoWVVSU0diFyAS5momMW/y/GZyhYsRHn5HrUIQQrVyB32ozSamhFAFLCp6EyGeWaVBsGhQFLOK2R8x2G9XAaPh5t7LmR9MYedf38awgRjSW2h51442p7VFSjSbyjCSlIuOSK17FwaTTqFNyHYoQopUzjVSilnBaf1fKcMBEtbV6ZSFaKaUUIb9JyG/ieZqE45F0PWzXw21gnEwwkaD7E+tRSY1KxlJfrB/BN2VKapvUAfp2eJ7G1RpPa7QGT2u8uj+1Bxrd4GxVpVJxGir1UMw0Uv+zDCW/i0SzSVIqMmpHTYIhte+xqXQ0vYMluQ5HCNEGhPxmq09KlUrfGBwhRMtiGHUJKqmfca01tptKIh0v9af132cxDpAIas8j8ejjJL/xTbRXn3SmEtGGks10MA2FzzDwWwY+U2FJR3BxmCQpFRn1ztx5nGN8ypYhl+Y6FCFEGxGwTEzDaXB1obUI+y1ZmRCijVBK4bf2+3nfsPazldH9j49EcFauIpbFrQyup3E9l7iT+sz6qpWgz5SRVaJR5LtEZFTlomkAdPnCOTmORAjRloT9rfeZq1Jtd/yNEKJOeXlqD2kDvIIwbr/+WQ5oX66niSZddkeS7KpNEE066Ewt04pWQZJSkTHVcZu+u99mZ6AnqkN5rsMRQrQhQV/rHQ8jq6RCCC64AIwD3MYbisS5X8luPAfheJqauMOOmgQ1cRuvFVexiKaTpFRkzBuL1nGUWkay70m5DkUI0cYopShohaulskoqhABSY1+mT0/9Wbdi6vpNtB/+d+uP0QdocpRLGogmXXbWJqhNyMqp2Ffru2KLFuPTeS8TUDYdxpyV61CEEG1Qgc8kmnAaPfsvHxQGZJVUCFFnwoRUl92pU2H1amJduhDb/id6RB9m49av06NLh1xH2CANRBIO0aRDUcBHSB60CSQpFRkSSzp03jqbuFVAoP+xuQ5HCNEGGYYi6Dez2uwjkwylpOOuEGJfhYVw+eUAWLZL9cJB9J12IYuf+QGdrvon/hY8y1jr1FavuO1SFLSkY28bJ//1RUa8vmwbx6kFVHSdiLICuQ5HCNFGtaaGR7JKKoQ4mIBlUDToeFb1/RpfTL7Mqy8+meuQGiXpeuyOJIkmnVyHInJIklKREYvnzaGLqqB45Bm5DkUI0YaZhiLYClYXzbq5hUIIcSBKKQKWSemZd7Dd34vT1/6C95evy3VYjaKBmrhDZTQpjZDaKElKRdrVxm0KN8zEQ2ENOiXX4Qgh2rjCQP6vlraGfwchROYFfAb4Qnjn/IUuqgLv5R+zszaR67AaLeF47IoksV0v16GILGtUUqqUOk0p9bFSarVS6kcHOOZ8pdQypdRSpdTj6Q1T5JPXV2znOOZRWTYCf0mXXIcjhGjj8n211GcaeR2/ECJ7ApaBAlSPL7B12Lc4h1m88NS/8PKo062nNRWRJHG7dfQDEI1zyKRUKWUCfwZOB4YCFymlhu53TDnwY+BYrfUw4IYMxCrygNaaOQuXMdpYg3/I6bL/SQjRIhQGLPL1t1FRUFZJhRCNU1/CC2CdeAu7wgO4rOIPPPP24hxHdng0UBWziSRkn2lb0ZiV0vHAaq31Wq11EngSOHu/Y64E/qy1rgDQWm9Pb5giX1TFbHxrXwdADTw1x9EIIUSKWdeJN98EfSY+6UgphDgMAV/d7wwrgD77L7RXNfR8/3aWbKrKbWBNUJtwqInbuQ5DZEFjrnTdgU/3+vvGuq/tbSAwUCn1jlLqPaXUaekKUOSX15dvZ4KeRyzYCbPbqFyHI4QQexT682u1VAFFspdUCHGY6kt4Adwuo6gedz3nmO/w2rMPUhvPv5XHaNKlKiaJaWuXrsevFlAOHA9cBDyglCrd/yCl1LeUUnOVUnN37NiRpo8WLYXjesxc8imTzMV4A07Bb+XfqoQQovUyDEVBHiV5hUELw8inNFoI0RLsXcILYB/7fapLh/LD5N+4b9p76DzaX1ovbrtURSUxbc0ak5RuAnru9fcedV/b20bgBa21rbVeB6wklaTuQ2v9d631OK31uI4dOzY1ZtFC7Y4mSa55mzBx3AGnyM2UEKLFCftNjDzY624ZioJWNGNVCJFde0p4AUwf9hf/TKkR5aS1v+alRZtzF1gzxB1JTFuzxiSlHwLlSqm+Sik/cCHwwn7HPE9qlRSlVAdS5bxr0xinaOG01sxasZ3jvA9wzCD0Pz7XIQkhxOcopfKicVBxyJfrEIQQeWzvEl4Ap+NQIkffxBnmByyb+RAbdkVyFltzxB2Xatlj2iodMinVWjvAtcCrwHLgKa31UqXUHUqps+oOexXYpZRaBswCfqi13pWpoEXLE7c9Zi7bxqnWfOw+x+MPFuY6JCGEaFDQZ+Jvwc2DCvzS3EgI0Tz7l/ACxMZfQ7TjaH5q/JPfPfs2SSc/Z4HGkq40P2qFGnXV01pP11oP1Fr311r/su5rP9Vav1D3z1prfaPWeqjWeoTW+slMBi1ant3RJLtXf0gXdpEccHqLvuETQoiiYMtsemQaisI82vcqhGi59inhBTAsomfcR5Fhc0XlPdz3xqrcBJYG0aRLNJl/TZvEgUnmIJrNdj3eWrmDSfp9NAZOf9lPKoRo2SzTaJFNj4qDPpnvLIRIi/1LeAHcduVEJ97CyeZ8nPmPM2fVzpzElg41cYe47eY6DJEmkpSKZosmXV5fvo3TrPkkux+Jr1iaWAkhWr6w38RqQQ/QwgELvyWXZSFEejRUwgsQPeJbxLsdye3+R7j/xbfZUZPIQXTpUR2zsd38LEMW+5Krn2gWz9NURBKsX7WEgXxCcsBpUrorhMgLSimKQ74WUcbrNw0p2xVCpN3nSngBlEHtaX8iZHn8VP+F//vvElwv/8bEAGigMmrj5Wn84jOSPYhmiTsub67cyST9IQCJ/pKUCiHyh880COc4GVRKuu0KITKjoRJeALe0D5HjfsYEtZjyTf/hkfc2ZD22dPG0pjJm5+X8VfEZyR5Es0STLq8s3coZ/gXYHYZCu76yn1QIkVfCAYtAjspmFVAa8mPK700hRAYcqIQXIDbqUhI9J/Iz/+NMe/N9PtpUleXo0sd2PWoS0vgon0lSKpos4bjsrEmweu16RusVqVVS2Q8lhMhDxUFfThLDoqBPfm8KITKqwRJeAGVQfeof8Vsmfwj+nZ8+tzivR63Ekq40PspjciUUTRZLusxcvo3jjXkYeCRkFIwQIk8ZhqI05CObjW/DAYuQv+EVDCGESJcDlfACeMU9qDn+DsbqJZwSeYlfvbwir8tgq2M2jjQ+ykuSQYgmcT1NwvGYsWwb54QW4RZ1x+k0QpJSIUTeskyD0pA/K42PQn5TGhsJIbLiYCW8APHhF5PocwK3BJ5k1YrFvLh4SxajSy8NVMn+0rwkGYRokmjSYXNljJUbtzPeW0ii/6mkSqr0AAAgAElEQVSYpiH7SYUQec1vGRnvyBvymxQHpbGRECJ7DljCC6AU1Sf/Dsvy87fCf/D7GctZtzOSveDSzPG07C/NQ5KUisOmtSZmu8xYuo3jjMX4vESqdFf2RQkhWoGgz6SkIDOJaThgSUIqhMi6g5XwAnhF3ag54ZcMsZdyufkqtz2/hISTv/szY0k3r+NviySLEIctZrt4nuaVpVu5qGgRXqCUZPejpXRXCNFqBCyTsrAfI02bTBVQEvJJya4QIieUUodcPIgPOY9Ev1P43v+3d99xUpVn/8c/95k+s4Uq0kGaIiIidmMvxBhRI2o0Rn/RJ0+KmqgxmmjiE0s0PppojCnqE000sURsscUaLIlGBKRIFUSqILB1duq5f38s4C67C8vu7JyZne/79fIlzDln5gIPONe5rvu6nUfIbljMb15bmqfoukZ1g/YvLSbKImSXxVNZlqyvY/VnVRyaeZfkyMngCygpFZFuJeBz6B0LdvrvNr9j6BULEg5oqJGIeGenfwcZQ81xt2ECEe7vcT+Pz/iEN5dsyE9wXcBaqE2ojbdYKIuQXZLMZMm6ln/MX8cXfPMIZetJjPoyPsdoPamIdDuOY+gZC1IZCexy1dQYKAv56RUL4tdDOxHx2M5aeAHcsn7UHnszQxvm86MeL3PDswtYX5vIS3xdIZHRNjHFQv+XlF0ST2ZxreWl+Z/y9crZuKEKUkOP0HpSEenWwgEffcqCVIQDBHaSYPodQ3nYT9+yELGQH5PPfWZERNrQnhZegMSY00iM/BIXph5mUGYF//PMh2SLuA22JqE23mKgTELaLZN1SWVd3v94M5tr6zk49Q7JEZPB1/n2NhGRQmeMIRL00SsWpG9ZiMpIgPKwn7KQn/Kwn8pIgD5lIXqXhYgGlYyKSOHZ0dYw2xhDzXG/gFA5D/T4I7NXfMaf//1xV4fWZdTGWxyUSUi7xbe0Pzw7dy3HhBYSytSSGHUygJJSESkpjmMIB3xEg35iIT/RoJ9wwIdPyxhEpIC1p4UXwEb7UnPsLfSt/ZDb+7/OvW8sZ86qqi6Pr6uojbfwKZOQdnFdSyKVpS6Z4fWF6/l/PT7ADZaRGnokfq0nFRERESl4jmN2ugRhq+ToU0iMmcKU6gc5rHwd1z41j+p4uosj7Dq1iQzWqo23UCkplXZpSGexwGsL15PNpJjY8DbJPU4Af1jrSUVERESKxK5MAq855hbccA/ujt5DTV2cG577sGgTO9daapNq4y1UyiZkp6y1xFONLQ/PzVnLKZXLCaaqSI7+MoCSUhEREZEiEdqF72020ova4/6X8qoFPDDyDd5c8hkP/2dlF0bXtRpSWdJZ1+swpBXKJmSnEmkX11pWbooze2UVX6+chRuIkhx6NAatJxUREREpFo5jdum7W3LkF2nY6wwOXHU/5w+r4jevL2Xe6uoujLBr1TQUbwtyd6ZsQnYqnmpsdXh+7lr8ZBlX8yapPY6HQAS/z9GESREREZEiEgrsWgpQe/RNuJHe/Dh1JwPLHK59al7RJncZ1277biuFQ0mp7FAykyXjWlxreWHeOr4+YDX+xEYSo9S6KyIiIlKMwu3ZGqYJG+5BzfG3E9q0iD+NeJ31tUlufG5B0a4vrUtmtHdpgVFGITsUTzauJZ25YjNrqxOcHX2vsXV3+LGAWndFREREis2uTOHdKrXH8TTsfTbDFt7DDZOSTF+8gcdmrOqiCLuWtVCnamlBUUYhbUpnXVJbFoM/N3ctPUKWERteJTniixCIYoCAT627IiIiIsUmvIstvAC1R92AG9udM1fdxDEjK/j1q0tYsLamC6Lrehp6VFiUlEqbtk7cbdybdAPfGbQCX7KKxJ6nA42tu1pPKiIiIlJ8QrvYwgtgQxXUnPAr/JuWcFufZ+ldFuSaJ+dRlyjOqmOxxt0dKSmVVmVdSyLdmJS+NH8dDeksU3xv44Z7kRp6JKD1pCIiIiLFyteBFl6A1LCjiI//Oj1n/4G7Dk+xrjrBTc8X5/rSVNbd9n1XvKWsQlrVdCrZ07PXMK6vj93WvEZi9JfBFwC0nlRERESkmO3KnqVN1R1xHW7FICbOvIZLvjCQ1xauZ9rM1TmOLj/qkpmiTKi7G2UV0oLrWhq2tO4uWFvDwnW1XDpwCSbTQGLP0wBwjMGvpFRERESkaIUDu97CC2CDZVSfcAf+qmVclH6IQ0b05o5XFrNoXW2OI+x6WdfSoGqp55RVSAsN6Sxbnxc9PXsNIb/DYQ2vky0bQHrgQYBad0VERESKnc8x+J2OzQdJDzmc+IRvEJt1L7/Yv4Ye0SA/fnIudcniW6epLWK8p8xCmrHWUr+ldTeeyvCP+euYMjpMdOX0xiqpabxlOtruISIiIiKFo6PVUoDaL1xLtnIIA6b/gJ9/aRhrqxLc8sLComuHtZZt33/FG8ospJlE2mXr3yOvfLieeCrLBT0+wLiZba27oPWkIiIiIt1BpwoNgRg1J/4aX/UnHLb8br55xB68/OGnPDV7Te4CzJOGVJasqqWeUWYhzTR9SvTU7NUM7xNj5KcvkOk1ikzfcQD4HYPTwVYPERERESkcfp/T4RZegPSgg4lP/CbRD/7IRYM+4aDhvfjlS4tZ/GlxrS+1UJStx92FklLZJpH+/AnRkvW1zF9Tw9f2NARXv0NizGmwZU/SUCfaPERERESksHT2u13dYVeT6TmCHi9dxvWTh1AZDfCjJ+ZSm0jnKML8SKSzZLKu12GUJCWlsk19k6dDT89aQ9DnMMW8AUDD2Knbjql1V0RERKT7CHd2VkggSs2Jd+LUrWHwjJ9z06njWFud4IZni2//0vqkJvF6QdmFAJDMZMlsqZLGUxlemLeOo8f0ocfix0kNPgy3cgjQWCzV5F0RERGR7sPvc/B1cmlWesABxPf/DtG5D3FAdhaXHDOS6Ys38Nf/fJKjKPMjkcmSVrU075RdCADxJk+FXpy3jrpkhouGfoq/+mMaxp617VjIp9ZdERERke6mM1N4t6o79EoyvUZT8dJlfHWfCo4e05e7X/uIWZ9szkGE+VOvtaV5p6RUSGVcUlueCFlrefz9VYzpV87eG57DDURJjjp527mqkoqIiIh0PznZ7s8fpnryr3Hq11PxxnVce/JYBvQMc+1T89hYl+z8++dJMuOSyqhamk/KMIR4k4m7sz6p4qMN9Zy1X2/Ci58hOfoUbDC27biSUhEREZHuJ5CDFl6AzO77UX/gJUTmP0Kv1a9x8+n7UJvI8JOn5xfVliuqluaXMowSl8m6JJs8Cfrb+6uoCPs5JTgTJ1VHw9gztx3zOyYnf1mJiIiISOHJSbUUqD/octJ99qLi5R8wujzDDyeP4f0Vm7nnjWU5ef98SGVVLc0nJaUlrumEsfW1CaYv2sCX9x1A+aK/ka0YTHrQIduOaysYERERke4rF+tKAfCHqJl8F07DRspfv4aTxw9gyoQBPPCvj3lr6We5+Yw8ULU0f5SUlrCsa0lkPk9Kn5y5Gtdazh7tEFzxRuOAI/P5LaKtYERERES6r4DPwTG56YrL7LYP9QddRmThNEJLnufy40czul8ZP3tmPmuqGnLyGV1N1dL8UZZRwuqbrCVNZVyenLWaw0b2YfjqpzFYEk32JtVWMCIiIiLdXziQu+979Qd+j/Ru+1D+6pVEMlXcfPo+uBZ+9MTcokn2VC3ND2UZJSrrWhKpz6ukry9az+Z4mqn79ycy9y8khxxBtsewbce1FYyIiIhI95ezFl4AX4CaE3+Nk6im4tWrGdQzyk+/PJaF62q545XFufucLpTKutq3NA+UlJaoeCrD1vln1loefW8lg3tF+IKZg692FQ3jz2t2fiiHT81EREREpDDlsoUXINN3LHWH/IDw4mcILXqaI0f35WsHD2HazNW8OG9dzj6nK6la2vWUaZQg17U0NKmSzl1dzfw1NZw1aTDRuQ+SjfYhOWJys2u0nlRERESkNOSyhRcgfsDFpPtNoOLVq3Hq1/Pto0aw3+Ae3PzCApaur8vpZ3WFZEbV0q6mTKMExdNZmu4S9Zd3P6Ei7GfKHobQspdJ7H02+ILbjgd9Do62ghEREREpCSF/jpdtOX6qJ/8ak66n/NWr8BvDjaeNoyzk56ppc6hpSOf287pAvMmOFZJ7SkpLjLWWeJMBR6s2x5m+aAOnTRxIz8WPYWyWhn3UuisiIiJSqoL+3LbwAmR7j6Hu0KsIL32e8MIn6FMW4ubT92FddYLrnpmPa+3O38RDiUyWjKqlXUbZRomJp7I0/TP/yH9W4nMMU/cb0OqAI+iCp2UiIiIiUtBy3cILEN//W6T6T6L8tR/j1K1j/KAeXH78aP710Ubue3N5zj8v1+pTqpZ2FSWlJcRa22wbmOqGNH+fs4YT996dgRv/1eqAI79j8Kl1V0RERKSkdElRwvFRM/nXmEyCipevAGs5feJATh7fn/97azlvLN6Q+8/MoWQ6S9Yt7IpusVJSWkIa0s2rpE/NWk0i7XL2gYOJzvlTqwOOQrkcCy4iIiIiRaErWngBsj1HUPuFawgtf4XI3IcwxvDDyWPYc/dy/ufv81mxsT7nn5krFpotg5PcUVJaIqy11DdZoJ3OuvxtxioOHNaLvUIbCS57uXEtaZMBRwAhv24RERERkVLUFS28AA37XURyyBco/+dP8G1eRsjv4xdfGU/Acbhq2tyC3oKlIZXFVbU055RxlIhE2m22gPzlDz9lQ12Scw4aQuSD+8Hx0TD+/GbXOMYQ0FYwIiIiIiWpy+aKGIeaE3+N9YWofOE7kE2ze2WYm04bx4qN9dz43AJsgQ4+sjR2H0puKeMoEXVNnji51vLnf69gRN8YhwwKEZn3V5KjTsYt79/smq56OiYiIiIiha+rWngB3PIB1Bx3K4F1s4i9ewcAk4b14rtHj+S1het58J0VXfK5udA4OLQwk+ZipayjBCTS2WZV0jcXf8byz+o5/9BhRBY+jpOsIb7fRS2u09RdERERkdLWlUWK5JgpNOw1ldi7vyKwZgYA5x40hOP22o3f/fMj3l2+scs+uzNca0mktT1MLikpLQFNq6TWWu7/13IG9Yxw7J59ic66j3S/CaT7T2p2jWMMQa0nFRERESlpXV2kqD3m57jlA6h44buYVD3GGK790liG94lx7VPzWFPV0KWf31H1GniUU8o6urnEdqOr//PxJhasreW8g4cSXfUW/k1LGquk27VmhNS6KyIiIlLyurKFF8CGKqiefBe+6hWUTf8pAJFg4+Aj14Wrp80lUYBrOLOuJZkpvLiKlTKPNqSzbrfYh2j76WUPvP0xfctDnLRPf6Iz7yEb7Uti9CktrgurdVdERERE6Po5I+lBhxA/4LtE5z5EaOkLAAzuFeX6KXuz+NNabnj2w4JcwxlPKinNFSWlbbC2+PchSqSzZJok1nNWVTHzkyrOPWgIkarFhJa/QsO+F4A/1Ow6te6KiIiIyFbhPOxbX3foVaT7jqPi5Stw6tcDcNjIPnzn6BG8smA9f/pX4Q0+SmVd0lmtLc0FZR470JAu7sla8VTzpzcP/OtjekQCnDphILEZv8X6I8QnfKPFdWrdFREREZGtAj4Hn9N1LbwA+IJUn/RbTKqeipcua6wQAecdPJQT9+7H76d/xBuLN3RtDB2w/fdt6Zh2ZR/GmMnGmEXGmKXGmKt3cN5XjDHWGDOprXOKibXFuw9RMpNt9uRm8ae1vL10I2cfOJhYch3hhdNo2OdcbKRXi2vVuisiIiIiTYXy0EWX7T2G2iN+Qmj5K0Tm/AkAYww/Pmkv9uxfznXPzGfZhrouj2NXJNNZ3G6w5M9rO727jDE+4G7gi8BY4KvGmLGtnFcOfA94N9dBeqm+SHvFt4/7vjeXUxbyc8b+g4jOvAespX7if7e4Tq27IiIiIrK9fLTwAjRM+AbJoUdRPv1/8G1asu2zf/GV8UQCPn7wtzlUx9N5iaU9LBAv0iJWIWlP9nEgsNRau8xamwIeAaa0ct4NwC+ARA7j81zjPkTFdaOlMs372xesrWH64g2cc9AQKqgnMudBEmNOxa0c0uLaSFBVUhERERFpLi8tvADGoebEO7H+CJXPfxsySQD6VYT5xRnjWV+b4MdPziVTQGs546lMUS/5KwTtSUoHAiub/HzVlte2McZMBAZba5/LYWwFY/sJtoVu+3jvfXMZFWE/Zx0wmOgH9+Ok64kf8N1Wrw2rSioiIiIirchXtdQt252aE39FYP1cyt66cdvr+wys5Edf3IsZKzZz56tL8hJLe1gLiXThJMnFqNMZiDHGAX4JXNGOc79pjJlhjJmxYUPhLVRuS6aI9iFKZ11STZ4czV1dzdtLN3LuwUMpc5JEZ95LctgxZPru3eJav2Pw+5SUioiIiEhL+SxeJEdMJj7hQmIz7yG47OVtr39pfH/OOXAIj81YxdOzV+ctnp0p9l07vNaeO2s1MLjJzwdteW2rcmAc8E9jzMfAwcAzrQ07stbeY62dZK2d1Ldv345H7YFi2YeoRZX0jWX0iAQ4c9IgorMfwGnYSP3Bl7d6rVp3RURERKQtfp+DPx8tvFvUHvFT0n33pvIf38OpW7ft9e8eM4KDhvfi1hcXMXtlVd7i2ZGMa0llVC3tqPYkpe8Bo4wxw40xQeBs4JmtB6211dbaPtbaYdbaYcA7wCnW2hldErFHimEfonTWJdnkD8PslVW8u3wT5x0ylKhJEptxN8mhR5EecECr12vqroiIiIjsSL5aeAHwh6n+0h8w6TgVL3wX3MYikd9xuPHUcfTvEebqaXNYW92Qv5h2QNXSjttpUmqtzQAXA/8AFgCPWWvnG2OuN8ac0tUBFpJCr5ZuH989byyjVyzYOHF39v2NVdJDftDqtSG/g5PHJ18iIiIiUnzympQC2V6jqDn6JkIr3yI64zfbXq+IBLjtjH1JZy0/eGwOdQUwAyaZcclqe5gOaVdjuLX2eWvtaGvtCGvtTVte+6m19plWzj2qu1VJt0pksgU16aupTNYl0WTd63+Wb+L9FZs5/5ChRGyC2Izfkhx6dNtV0jz/BSMiIiIixcfnGAJ5nkGSGHcOiTFTKHv7FwTWfJ5mDOsT4+bT92H5Z/Vc+9Q8Mq7339NVLe0YTbXZRYW6b2l96vO4XGv5zWtL6V8Z5vSJg4jM/iNOw0bqDr2y1WuNyc+GyCIiIiJS/MKBPH9vNIaa427DLR9A5fPfwiSqtx06cHgvfnDiaP790UbufMX7ibwN6ay2h+kAZSK7qBCrpVm3+V6qL83/lEWf1vLfR+5BKFPbuJZ02LFk+u/f6vWRgA9j1LorIiIiIjsX8mAOiQ1VUH3S73Fq11Dx6pWN+7BscfrEQdsm8v5txsodvEvX0/YwHaOktAOaViULQX2TNoFUxuX30z9idL8yTtx7d2Lv3YVJVFF3+I/avD6i1l0RERERaSefYwh6sI1gesAk6g67ivCip4nM+0uzYxcfM5IvjOrDL19ezL8++izvsTWlFt5dp6S0AxLpwqmWZl1LokmSPG3mKtZWJ7j4mJH469YQnXkvib2+Qma3fVq9PuhztDepiIiIiOwSr+aRxA+4hOSQIyh/7Rr8G+Zve93nGK6fsjcjdyvjmifn8dH6Ok/iA20P0xHKRjqoUNaWxlMZtjYv1CbS/PHt5Rw4vBcHDe9N2b9uBVzqDru6zeu1N6mIiIiI7KqQ38GTxV/Gofqk3+KGe1D594swydpth6JBP7dN3ZdY0M/lj33AxrqkFxEC0FBgnZWFTklpBxXC2lLXtc1u+D//ewW1DRkuPnok/g0fEp7/KPEJF+FWDG71escYDTgSERERkV3mOIagR98jbbQv1Sffg696BRUvXdZsfWm/ijD/O3U8VQ0prnx8TrO5K/mUzGRxtT1Muykj6QSv90OKp7PbqqRrqhp49L2VnDhud8b0K6PsjeuxoQrqD7y0zesjQQ04EhEREZGO8XJLwfTAg6g7/BrCS/5OZNZ9zY7t1b+C608Zx4drarjh2Q9xPZiGa2mcxCvto6S0E5IZ17N+cde1zRZR//rVxhHY3zlqBKGPXiS04nXqD74cG+nZ6vUGiGrAkYiIiIh0kGctvFvEJ32b5B4nUP7Gz/Cvfb/ZsSPH9OXiY0byyoL1/O6fH3kTn1p4201JaSd5VS1t3AOp8cczPt7E64s2cP6hw+gXsZT/8ydkeo8hPuHCNq8PBXw4jqqkIiIiItIxxhhCXhY5jEP15Ltwy3anx7PfxDRsanb43IOG8JWJA/nzv1d4slWMa61n7cPFRklpJ6Wzbt5vNmvttm1gMq7LL19eTP/KMOceNITYjLvx1ayk5pibwRdo8z1iGnAkIiIiIp0UDnibTthwD6pOvg8nvp7KFy8B+3kXozGGK04YwxdG9eH2lxYzfdGGvMengUfto6Q0B+qSGWwee9WbVkmfnLmajzbUc+mxo4jGVxH7z10kxpxKevBhbV4f8msbGBERERHpvJDfh9cjSjK7T6D2yOsJLX+F6Ht3NTvmcww3njqOsQMq+MnT85i7qjqvsaWyrufDUYuBMpMcyLo2bz3j1tpt29FUx9Pc88Yy9h/ak6NH96HitR9jHYfaI67b4XtEg/58hCoiIiIiJSBSAHNKGva9gMSYUyl7+xaCH/+z2bFwwMftU/elb3mIK/72AZ9sjOc3NrXw7pSS0hypT2byMvY5kXa3TRD7wxsfUZfMcPnxo4kseoLQ8leoP+xq3PIBbV4f8Dmeje8WERERke7Hyym82xhD9Qm/JNN7DJXP/Te+qo+bHe4ZC3LHWRMwwPcfnc2m+lTeQmvsctT2MDui7CRHLFCbh6FHW9eSfrimhidmruYrEwcxqqyB8td/Qqr//sQnXLTD62OhAvhLQ0RERES6jYDPwVcIAzQDMapPeQCAymcugHR9s8ODe0W5/cx9+awuyRWPfZC39Z7WNu7aIW1TUppDiXS2S7eISaSzZF1LxnW5+YUF9C4L8q0jR1Dx+jWYdB01J/wKnLaTzoDPIeRXUioiIiIiuVUILbwA2R7DqP7S7/FvXETlS5fBdhXKcQMrufHUcSxcV8O1T80j4+YnWdT2MDumpDTHahLpLivP12+pxP5txioWf1rH5cePpvfKfxBe9DT1B11GtveYHV5fFtJaUhERERHJvYJo4d0iNexo6g77MeFFTxOd8dsWx48Y3ZcrTxzDW0s/49YXF+WltTatgUc7pKQ0x7Kupb4LnoQkM1kyruXTmgR/mL6MQ0b05rhBWSpevoL0buOpP+CSHV4f8mstqYiIiIh0DZ9jCBbQ7g7xAy4mMfoUyt66keCK6S2Onz5xEOcfOpSnZ6/hD9OX5ScmDTxqU+HcOd1IPJnJ+ZOQrRN3b39pMa61/PCEUVS+eAkmk6D6pN/tcE9SUJVURERERLpWIVVLMYbqE+9oc/ARwLePHMGUCQO4/18f8/B/PunykBIaeNQmJaVdwALVDblr401lXNJZlzcWb2D64g1c9IXhjFx6P6GVb1Fz9E1ke43c4fWRoE/7koqIiIhIlwoHHApg3NHntg4+spbKp8/HJGubHTbG8MPJYzhqTF/ueGUJz89d26XhWNu4k4a0pEyli2Ry2MYbT2WoaUjzixcXMrJvGRcMXk/Z27eQGHUyiXHn7PBaY6BM+5KKiIiISBczxhTcUM1sj2FUf/le/JuXUvncf4PbfLcMv+Nw/ZS9mTS0Jzc+u4C3ln7WpfFoz9LWKSntQvXJTKen8aazLsmMyx2vLGFzfZrrj+1Dr+f+i2z5AGqOv70x69yB8lAApxBGdIuIiIhItxcOFl56kRpyBLXH3ELo41cpn35di+Mhv49bzxjPqH5l/PiJucxeWdVlsWjgUesK767pZqob0rhux9t448ksby39jOfmruWCgwcy6b3LcZLVVJ9yPzbcY4fXBn0OkWBhPa0SERERke4r5Pfh7KRo4oWG8edRv/+3iM66j8js+1scj4X83HHWBPpVhLnisQ9Ysr62lXfJDQ08aklJaRdzraW6Id2hazNZl/W1CW55fiEj+sb4fvYBgqvfoeaEX5Lpu/cOrzVARWTHw49ERERERHKtUIsidV/4Kck9TqD89WsIfvx6i+M9Y0Hu+up+RII+vvfwbFZtjndJHBp41JKS0jxIZV1qE7uemNanstzx6hI21af4w8h3KZ/zR+r3/zaJPU/f6bUVkQA+te2KiIiISJ6FC3UbQsdH9Um/J9NnTyqf/S98Gxe1OGX3yjC/PnsCadfl0odns6E2mfMwrIVkJ5f4dTcFesd0P/FUloZdGHyUdS2vLviU5+as5eY9P2LErJtJjDqZuiN+utNrwwFfYY3kFhEREZGS4fc5BAp05wcbjFF16oPYQISeT56LU/dpi3P26FvGr86cwOZ4iov/OpPN9amcxxHP0UDU7qIw75ZuqiaRJtHOHvJPNtVzw7MfclrPj5n6yQ2kBxxA9eTfgNnxfzK/Y6gIa9quiIiIiHgnUsAFErd8IFVTHsQ0bKTHk+e02CoGYNzASm6fui9rqxNc8vAsajq4HK8tGnjUnJLSPKtpSJPM7DgxzWZdrn1yHqNTH3Jb+kaylUOomvInCER2eJ1jDD2iQUwBLi4XERERkdJRcHuWbiez+wSqT/4//BsXUvn3/weZlm26E4f25NYzxvPxxnq+/+hs6pKZVt6p47Q9zOeUlOaZBarjrVRMa2vhvvvgqqt460e3kF0wnQdDt2LL+7P5jGnYSK8dvq8x0DOqdaQiIiIi4j1jDKECrpYCpIYfQ80JvyL0yZtU/uNSsC0rlwfv0ZubTtuHhWtrueKxD9rd9dgeDRp4tI36PD1g2bJVjLVEg3546y046SRwXaiv56BAkCNMmux/78Hmb0zDLeu3w/dzjKFnNIC/QHv3RURERKT0RAK+nCZxXSEx9kycuk8pf+tGsmW7U3fkz1qcc+Tovvxsyt789Ol5XPn4HG6bOvyZinMAABcpSURBVJ6Qv/MJ99aBR5oFo0qpp2oTGarXb8KedFJjpbS+HoBwOoVJWZw/rsOa8h2+R8Dn0CsWVEIqIiIiIgUl6HeKoosvfsDFxCdcSOz93xN97+5Wzzl+bD+u+dJe/Gf5Jn78xDzSOVoPuiuDULszZTIeM48+im3rprYQeuLx1q+jcZNfteyKiIiISKEq5IFH2xhD7VE3kBh9CuVvXk/kgz+1etrJ4wfwwxPH8NbSz7ju6flk3M4npqmsS9ZVC6/adz3mW/YRTry+1WNOvB7fso+avWaAUMBHLOhTdVREREREClok4KM+maHg0y7HR/UX78ak41S8+kOsP0xi77NanPaV/QeRzLjc+eoSnGcM/3PKWPxO576TN6SzlIVKOy0r7V99AXD7lWODDibV8kmLjcVwRo0i7PfhOI2tukGfg6PKqIiIiIgUAccxhPw+EjvZfaIg+IJUffn/6PHUeVS89H2sP0xyzJQWp51z0BAyrsvdrzcWjzqbmDaklJSW9q/eS9YlMuv/iNX9Btp4dmQch+h550A0kN/YRERERERyJBx0iiMpBfCHqZryAD2f+CqVL3yHKn+Y1IgTW5z29UOGYTD85vWlWGv52ZS9O5yYutaSSGdLeuCR+j894N8wn56PnU7FP69lXsVEvjn1GjKxMojFGk+IxaC8HJ5/HsrKvA1WRERERKQTQn4fjimiTr9AjKpT/0Km7zh6PHsRweWvtXraeYcM5eJjRvLKgvX89Kn5ZDox/KjQpxR3NVVK88ipX0/snV8SmfMnbKgHr466lgvn7sW3zh2B//dXwaOPwtKlMHIknHWWElIRERER6RaiQR91yYzXYbSbDZWz+fRH6Pn4GfR45nyqT76X5IjJLc477+ChGOCu15ZigRum7N2huS/JjIvr2pJdpqekNA+c2jXEZtxNZM5D4KZp2Pf/8dagi/j2tI85fGRvLj1mFIT8cOGFXocqIiIiIpJzRTPwqAkb6cnmqdPoOe0sKv9+IdUn/Z7k6C+3OO9rBw/FMYY7X12CtZYbTx3XocS0IZ0lVqJrS9W+21XcDMFlL1H59Pn0uW8SkQ8eILHnqWy84E0W7vcTrnxuFYN7RbjxtHFES/TmExEREZHSsHXgUbGx4R5sPuNx0rtPpPK5bxJe0Pp2jeccNITvHzeK1xdt4JqnOraPaUMJt/AqG8oVa3FqVhJc8x7B5a8QWv4aTrKKbLQv8UnfJj7+fNzKIdQnM1z55xlYa7lt6r70Kw97HbmIiIiISJeLBItkCu92bKicqtMfocdTX6PihYshkySxz7ktzvvqgUMAuOOVJVw9bS4/P33cLiXiWdeSyrgE/aVXN1RS2gb/Y+dS4YvhlvcnWzYAGyzH+kPgC0C6ASddj2nYjK/mE3zVn+DfMA9f/DMA3EhvkiNOJDlyMsnhxzdeQ+NkrZ/9/UOWf1bPHWdPYEjvKOFA6d10IiIiIlJ6gn4Hn2PIusXUxNvIBmNsPu0v9HjmG1S+fDm++HrqD/w+bDfA6asHDiHoc7j1H4u4/NEP+N+p44kG259yNaSzSkplCzcL8Y0Ea+bi1K3FuG0vynbDvchWDiE17BjSu08kvft+ZHbbB5yWT0V+98+PmL54A5cdN4qDhvcmFvRjimkSmYiIiIhIJ0SDPmoTxTPwqJlAlKpT/0zFS5dR9vYtOHWfUnv0TS2+939l/0FEgj5uePZDLn14Nr86a1/Kw+3b4jGZzmLDpZcjKCltjeMjc8GLbI6nwM3iNGzEpOohm8BkU1h/BBuMYUOV2GD7JuROe38Vf/73Ck7bbyBnHTAYQ+OCbxERERGRUhEJ+KhLFNfAo2Z8QWom34Ub253YjN/g1K+n+ot3QyDS7LST9ulPJODj2qfm8Z2/zOTXZ+9Hz1hwp29vgUTaJRIsrTyh9GrDu8rx4cZ2I9tzONk+e5Hpty/Z3qNxywe2OyF9Y/EGbntpEYeP7MMPThyNMYZI0FeyI59FREREpDQZYwgXe8JlHOqO+Ak1R91IaOnz9Jw2Fad+fYvTjt5zN26bui8rNsb51kPvs7420a63L8WBR0pKu9j8NdVc+9Q8xuxe3jge2nEwsEu95SIiIiIi3UW0m3QLNkz8L6pPvpfA+nn0+utk/OvntTjnkBG9ufPsCayvTfKtB2eypqphp++bzrpkOjC9t5gpKe1CqzbHueKxD+hdFuT2qftuK8OHAj58qpKKiIiISAny+xyCHdjHsxAlR3+ZTWc9A9bS65GTCS1+psU5+w3pyd3nTKQ2keabD77Psg11O33fUquWdo+7oQCtr01wycOzyFrLHWdNoHdZaNuxWLG3LIiIiIiIdEJ3WjOZ6TeeTef+g3Tfvenx7H8Re+vnsN2g1LEDKvjd1/bHWss3H3yfD1ZW7fA9G9JZrC3albe7TElpF6iKp7jkr7Ooiqe586z9GNo7tu1Y2O/D302eDImIiIiIdES4m3UOurHd2Dz1CRrGnUPZf+6k59/OwKlb1+yckbuVce/XJ9EzGuSSh2fxxuINbb6ftZDMlE4Lr7KjHKtLZLj0kdmsrU5w+9R9GTugotnxaKj7PBUSEREREemoaDeqlgLgD1Fzwq+onnwXgU9n0/vBYwguf63ZKQN6RLjnvP0ZuVsZV02bwzOz17T5dokSauFVUppDiXSWyx+bzdL1ddx8+j5MHNqz2fGgzyGgKqmIiIiICJGAj+64HWdi7JlsPPclstG+9Hzyq5RNvw7Snw846hkL8ptz9uPA4b246fkF3P/28lZbdZMZl6xbGi28ypByJJHOcuXjc5i7upobpuzNYSP7tDhHVVIRERERkUbGGCLdZBLv9rK9R7PpnBeJjz+f2Pu/p/dDxxFY896249Ggn9un7svkcbvz++nLuO2lxa0moKVSLVVSmgMNqSxXPPYB7y3fxLVfGsuxe/VrcY7fMYT83fMPnYiIiIhIR3TrbRIDEWqPu5XNX3kMk0nQ89FTKJv+M0jXA41TiK/78ljOPWgIj7+/imuenNsiCS2VKbxKSjspnspw+WOzmfnJZq47ZSxfGt+/1fNioW78B05EREREpAN8jiHczQs3qaFHsvHr/6Rh3LnE3v8tfR44gtDiZ8FaHGO49NhRfP+4Ufxz0Qa++9eZbKpPbbs261pSJTDwSElpJ9QnM3z/kdnMXlnF/5yyN18c13pC6nMM4W7amiAiIiIi0hmlsMTNhsqpPf42Np35NG6ogh7PXkiPaWfi+2whAF89cAi3fGUflnxax4V/eo/ln9Vvu7YUqqVKSjuopiHN9x6ZzbzVNdwwZRwn7r17m+fGunNbgoiIiIhIJwR8DsESGQaaHnQwm772MjVH/7xxQu+fj6LihYvxVX3MUWN243dfm0hDKst//XkGMz7eBECyBPYsLY3/+jm2oTbJtx56nwVra7jxtHEcN7blGtKtjIFwQL/NIiIiIiJtKYVq6TaOn4b9LuSzb7xDfP9vE178d3o/cBjlL1/B+Mhn/PGCA+hTFuLSR2bz7Jw1WCCxqRruuw+uuqrx37W1Xv8qcsp4lXVPmjTJzpgxw5PPbo9UxmVzPNXi9U82xbn04VlUxdPcesZ4Dhzea4fvUxbyaz2piIiIiMhObKpPkc52//WT23PqPiX27h1E5j0E2TTJESewcdyFXPZOOf9ZsZmf9tzEBTd+F8e6UF8PsRg4Djz/PBx+uNfh75Ax5n1r7aSdnqektHWtJaUL19Xw/UdmYy386qwJjB1QscP3MECfshCO0w03YBIRERERyaFEOkt1Q9rrMDzj1K8n8sEDRD94AKdhI+meI3g5fThHXnMvsVSi5QXl5bBmDZSV5T/YdmpvUqq+0nZ6b/kmvv3QTEJ+H/d8ff+dJqQAkaBPCamIiIiISDuEAz58Jfzd2Y3tRv2hP2TDRe9TfcKvsNG+nPTGvURtKwkpgOvCo4/mN8guoqS0HZ6atZrvPTqb/pVh7vn6/gztHdvpNQYNOBIRERER2RVlWvYGgQiJceew+ayniQ88F9NW8bi+HpYuzWtoXaVdSakxZrIxZpExZqkx5upWjl9ujPnQGDPHGPOqMWZo7kPNP9da7nptCTe/sJADh/Xinq9Pol9FuF3XhlUlFRERERHZJaVeLd1eZuz+uNE2CmKxGIwcmd+AushOk1JjjA+4G/giMBb4qjFm7HanzQImWWvHA48Dt+Y60HyLpzJcPW0uD73zCWfsP4jbzhy/S09uVCUVEREREdl1qpZ+LnH6GY1DjVrjOHDWWfkNqIu0p1J6ILDUWrvMWpsCHgGmND3BWvu6tTa+5afvAINyG2Z+VcVTnHvfu7y5ZANXHD+aK08cg7+tm6EVYb+e8IiIiIiIdISqpZ+z5eVUPf4ktry8sTIKjf8uL2+cvlvAQ452RXseQwwEVjb5+SrgoB2cfyHwQmsHjDHfBL4JMGTIkHaGmH/l4QAj+pbxjcOHc/jIPrt8fUntsyQiIiIikmNlIX9JT+JtKnvo4bB6NTz2WOMa0pEjGyuk3SQhhfYlpe1mjPkaMAk4srXj1tp7gHugcUuYXH52Lvkcw21T9211n9KdCfkdAj7NjxIRERER6ahwwEd9MkPGLdiUIW/Kw35MIAQXXuh1KF2mPdnTamBwk58P2vJaM8aY44BrgFOstcnchFd8olpLKiIiIiLSaTGtLcXnGMKB7t+F2Z6k9D1glDFmuDEmCJwNPNP0BGPMfsAfaExI1+c+zOIQ8DkE/aqSioiIiIh0VjjgK/kOxFIZ+rTT/8rW2gxwMfAPYAHwmLV2vjHmemPMKVtO+1+gDPibMWa2MeaZNt6uW4sGu/9TDBERERGRfCmVpKw1AZ9TElVSaOeaUmvt88Dz27320yY/Pi7HcRUdf4mU1kVERERE8iXodwj5HZIZ1+tQ8q6UEvLSrofnkHreRURERERyr5SSs63Cfl9JLQssnV9pFyqVBcgiIiIiIvnm9zlESmiZnAHKwqWViCspzYGYJu6KiIiIiHSZsqAfY7yOIj8iQR8+p0R+sVsoKe0kxxjCAf02ioiIiIh0FccxJdHG65jS+HVuT9lUJ0WDPkypPLYREREREfFINOjH380riOVhf0nmFkpKO8EYbQMjIiIiIpIv5eGA1yF0mWAJbQGzPSWlnRANluaTDBERERERLwT93TNxMzRWSUuVktIOMkC0G/6BEBEREREpZOWh7jf0KBry4/eVbmpWur/yTooEfTjdvKddRERERKTQOI6hohu18fodQ6zElwQqKe0Ag7aBERERERHxSjjgI+zvHolcRSRQ8ksClZR2QFhVUhERERERTzVOqvU6is6JhfwESrhtdyv9DuwiVUlFRERERLxX7G28atv9nJLSXRQO+vCpSioiIiIi4rlwwEekCBM7A1SqbXcbJaW7SFVSEREREZHCUR7y4y+yolFFJFDS03a3p9+JXRAOqEoqIiIiIlJIjDGNVUevA2mncMDXLfda7QwlpbtAPd8iIiIiIoXH73OoiBT++lK/Y6gIq/Nye0pK2yns96nELiIiIiJSoMIBH7FQ4SZ8xkCPaFDrSFuhLKudYiFVSUVERERECllZyF+QrbEG6BkNailgG5SUtoOqpCIiIiIixaEi7CdYYN/dKyIB7Ue6A/qdaYeoqqQiIiIiIkXBGEOPaOEkgZWRQEFWbwtJYfyXKmAhv1MwN7SIiIiIiOycMYYeBVCdrAgrIW0PZVs7UciLpUVEREREpHWOY+gZDXjWylsZCRDR7h3toqR0B1QlFREREREpXltbecP+/CWHBho/UxXSdlPGtQOqkoqIiIiIFDdjDJXRAGV5+G7vcwy9YkFCeUyCuwNlXW0I+Iz2EBIRERER6SZiIT9+n6GmIYNrbc7fPxzwURH2K4foAFVK26CbSURERESkewn5ffQpC+Z0radjDJWRAJWRgHKIDlKlVERERERESoYxhopwgGjAR30ySyKT7eD7QCzoJxr0KRntJCWlIiIiIiJScvw+h8qoQ5nrpyGdJZHOknV33NZrgKDfIRzwEfI7SkZzREmpiIiIiIiULJ9jKAv5KQv5ybqWdNYl61pca7E0tuc6BvyOo7kzXURJqYiIiIiICI0Jqs/R5Nx806AjERERERER8YySUhEREREREfGMklIRERERERHxjJJSERERERER8YySUhEREREREfGMklIRERERERHxjJJSERERERER8YySUhEREREREfGMklIRERERERHxjJJSERERERER8YySUhEREREREfGMklIRERERERHxjJJSERERERER8YySUhEREREREfGMklIRERERERHxjJJSERERERER8YySUhEREREREfGMklIRERERERHxjJJSERERERER8YySUhEREREREfGMklIRERERERHxjLHWevPBxmwAVnjy4e3XB/jM6yCk4Oi+kLbo3pC26N6QtujekNbovpC2FNu9MdRa23dnJ3mWlBYDY8wMa+0kr+OQwqL7Qtqie0PaontD2qJ7Q1qj+0La0l3vDbXvioiIiIiIiGeUlIqIiIiIiIhnlJTu2D1eByAFSfeFtEX3hrRF94a0RfeGtEb3hbSlW94bWlMqIiIiIiIinlGlVERERERERDyjpHQnjDH/a4xZaIyZY4x50hjTw+uYxDvGmMnGmEXGmKXGmKu9jkcKgzFmsDHmdWPMh8aY+caY73kdkxQOY4zPGDPLGPOs17FI4TDG9DDGPL7lO8YCY8whXsckhcEYc9mW/5fMM8Y8bIwJex2TeMMY80djzHpjzLwmr/UyxrxsjFmy5d89vYwxV5SU7tzLwDhr7XhgMfAjj+MRjxhjfMDdwBeBscBXjTFjvY1KCkQGuMJaOxY4GPiu7g1p4nvAAq+DkIJzJ/CitXZPYF90jwhgjBkIXApMstaOA3zA2d5GJR56AJi83WtXA69aa0cBr275edFTUroT1tqXrLWZLT99BxjkZTziqQOBpdbaZdbaFPAIMMXjmKQAWGvXWmtnbvlxLY1fLgd6G5UUAmPMIOBLwH1exyKFwxhTCRwB/B+AtTZlra3yNiopIH4gYozxA1FgjcfxiEestW8Am7Z7eQrwpy0//hNwal6D6iJKSnfNN4AXvA5CPDMQWNnk56tQ4iHbMcYMA/YD3vU2EikQdwA/BFyvA5GCMhzYANy/pbX7PmNMzOugxHvW2tXAbcAnwFqg2lr7krdRSYHpZ61du+XH64B+XgaTK0pKAWPMK1v69rf/Z0qTc66hsUXvL95FKiKFzBhTBkwDvm+trfE6HvGWMeZkYL219n2vY5GC4wcmAr+z1u4H1NNNWvCkc7asD5xC44OLAUDMGPM1b6OSQmUbt1HpFlup+L0OoBBYa4/b0XFjzAXAycCxVnvolLLVwOAmPx+05TURjDEBGhPSv1hrn/A6HikIhwGnGGNOAsJAhTHmIWutvmDKKmCVtXZrR8XjKCmVRscBy621GwCMMU8AhwIPeRqVFJJPjTH9rbVrjTH9gfVeB5QLqpTuhDFmMo2tV6dYa+NexyOeeg8YZYwZbowJ0jh44BmPY5ICYIwxNK4NW2Ct/aXX8UhhsNb+yFo7yFo7jMa/L15TQioA1tp1wEpjzJgtLx0LfOhhSFI4PgEONsZEt/y/5Vg0BEuaewY4f8uPzwee9jCWnFGldOd+A4SAlxv/buAda+23vA1JvGCtzRhjLgb+QeM0vD9aa+d7HJYUhsOA84C5xpjZW177sbX2eQ9jEpHCdgnwly0POZcB/8/jeKQAWGvfNcY8DsykcdnYLOAeb6MSrxhjHgaOAvoYY1YB1wG3AI8ZYy4EVgBnehdh7hh1o4qIiIiIiIhX1L4rIiIiIiIinlFSKiIiIiIiIp5RUioiIiIiIiKeUVIqIiIiIiIinlFSKiIiIiIiIp5RUioiIiIiIiKeUVIqIiIiIiIinlFSKiIiIiIiIp75/1oec6QJdIb6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bo = BayesianOptimization(\n",
    "    f=f,\n",
    "    pbounds={\"x\": (-2, 10)},\n",
    "    verbose=0,\n",
    "    random_state=987234,\n",
    ")\n",
    "\n",
    "bo.maximize(n_iter=10, acq=\"ei\", xi=1e-4)\n",
    "\n",
    "plot_bo(f, bo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prefer exploration (xi=0.1)\n",
    "\n",
    "Note that the points are more spread out across the whole range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bo = BayesianOptimization(\n",
    "    f=f,\n",
    "    pbounds={\"x\": (-2, 10)},\n",
    "    verbose=0,\n",
    "    random_state=987234,\n",
    ")\n",
    "\n",
    "bo.maximize(n_iter=10, acq=\"ei\", xi=1e-1)\n",
    "\n",
    "plot_bo(f, bo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Acquisition Function \"Probability of Improvement\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prefer exploitation (xi=0.0)\n",
    "\n",
    "Note that most points are around the peak(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bo = BayesianOptimization(\n",
    "    f=f,\n",
    "    pbounds={\"x\": (-2, 10)},\n",
    "    verbose=0,\n",
    "    random_state=987234,\n",
    ")\n",
    "\n",
    "bo.maximize(n_iter=10, acq=\"poi\", xi=1e-4)\n",
    "\n",
    "plot_bo(f, bo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prefer exploration (xi=0.1)\n",
    "\n",
    "Note that the points are more spread out across the whole range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bo = BayesianOptimization(\n",
    "    f=f,\n",
    "    pbounds={\"x\": (-2, 10)},\n",
    "    verbose=0,\n",
    "    random_state=987234,\n",
    ")\n",
    "\n",
    "bo.maximize(n_iter=10, acq=\"poi\", xi=1e-1)\n",
    "\n",
    "plot_bo(f, bo)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
